<?xml version="1.0" encoding="utf-8"?>
<journal>
  <titleid/>
  <issn>2304-9782, 2618-8686, 2405-7223</issn>
  <journalInfo lang="ENG">
    <title>St. Petersburg Polytechnic University Journal: Physics and Mathematics</title>
  </journalInfo>
  <issue>
    <volume>17</volume>
    <number>1</number>
    <altNumber> </altNumber>
    <dateUni>2024</dateUni>
    <pages>1-132</pages>
    <articles>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>9-20</pages>
        <authors>
          <author num="001">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University </orgName>
              <surname>Kozlovski</surname>
              <initials>Vitaly</initials>
              <email>vkozlovski@phmf.spbstu.ru </email>
            </individInfo>
          </author>
          <author num="002">
            <individInfo lang="ENG">
              <orgName>Ioffe Institute</orgName>
              <surname>Lebedev</surname>
              <initials>Alexander</initials>
              <email>shura.lebe@mail.ioffe.ru</email>
              <address>St. Petersburg, Russian Federation</address>
            </individInfo>
          </author>
          <author num="003">
            <individInfo lang="ENG">
              <orgName>Ioffe Institute of RAS</orgName>
              <surname>Kuzmin </surname>
              <initials>Roman</initials>
              <email>kuzminra@mail.ioffe.ru</email>
            </individInfo>
          </author>
          <author num="004">
            <individInfo lang="ENG">
              <orgName>Ioffe Institute</orgName>
              <surname>Malevskiy</surname>
              <initials>Dmitriy</initials>
              <email>dmalevsky@scell.ioffe.ru</email>
              <address>St. Petersburg, Russian Federation</address>
            </individInfo>
          </author>
          <author num="005">
            <individInfo lang="ENG">
              <orgName>Ioffe Institute of RAS</orgName>
              <surname>Levinshtein </surname>
              <initials>Mikhail </initials>
              <email>melev@nimis.ioffe.ru</email>
            </individInfo>
          </author>
          <author num="006">
            <individInfo lang="ENG">
              <orgName>Ioffe Institute of RAS</orgName>
              <surname>Oganesjan</surname>
              <initials>Gagik.A.</initials>
              <email>Gagik.Oganesyan@mail.ioffe.ru</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">The electron and proton irradiation effects on the properties of high-voltage 4H-SiC Schottky diodes within the operating temperature range</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">In the paper, the effects of type, dose and temperature of irradiation with stable elementary particles (0.9 MeV electrons and 15 MeV protons) on the properties of the high-voltage 4H-SiC Junction Barrier Schottky diodes at room temperature (23°С) and the limiting operating one (175°С) have been compared. The electron irradiation of the objects with equal doses at 23°С и 175°С was found to cause a significant increase in its base differential resistance in the former case and the absence of this effect in the latter. However, in the latter, DLTS spectra exhibited a noticeable increase in the concentration of deep levels in the upper half of the band gap. The proton irradiation resulted in a noticeable rise in the mentioned resistance even at 175°С. The results obtained make it possible to evaluate the radiation resistance of the studied devices to proton and electron irradiation within the framework of any given requirements.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.17101</doi>
          <udk>621.38:539.1</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>silicon carbide</keyword>
            <keyword>Schottky diode</keyword>
            <keyword>irradiation</keyword>
            <keyword>DLTS spectrum</keyword>
            <keyword>current–voltage characteristic</keyword>
            <keyword>annealing</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2024.71.1/</furl>
          <file>01_9-20_17(1)2024.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>21-28</pages>
        <authors>
          <author num="001">
            <authorCodes>
              <orcid>0000-0002-2793-5717</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Filimonov</surname>
              <initials>Alexey</initials>
              <email>filimonov@rphf.spbstu.ru</email>
              <address>St. Petersburg, Russian Federation</address>
            </individInfo>
          </author>
          <author num="002">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University </orgName>
              <surname>Bondarenko</surname>
              <initials>Vyacheslav</initials>
              <email>vyacheslav.b.bondarenko@mail.ru</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">A chaotic potential of charged dislocations in group III-nitride heterojunctions during localization of a two-dimensional electron gas</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">This work studies a chaotic potential (CP) in the heterojunctions of III-nitrides, the CP caused by the electrostatic field of charged dislocations, under localization conditions of a two-dimensional electron gas in the near-contact region. Within the framework of the statistical analysis of a Poisson ensemble of linear defects, the amplitude and scale of the CP in the contact plane have been determined. The CP parameter dependence on the density of surface states and the concentration of dislocations at the mobility threshold of the two-dimensional electron gas was shown. The CP amplitude was established to exceed 100 meV in a wide range of changes in the system parameters, in the presence of electronic charge localization effects in the heterojunctions.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.17102</doi>
          <udk>538.915</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>chaotic potential</keyword>
            <keyword>III-nitride heterojunction</keyword>
            <keyword>two-dimensional electron gas</keyword>
            <keyword>natural size effect</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2024.71.2/</furl>
          <file>02_21-28_17(1)2024i.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>29-37</pages>
        <authors>
          <author num="001">
            <authorCodes>
              <orcid>0000-0001-9604-4769</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Herzen State Pedagogical University of Russia</orgName>
              <surname>Karulina</surname>
              <initials>Elena</initials>
              <email>karulina@mail.ru</email>
            </individInfo>
          </author>
          <author num="002">
            <authorCodes>
              <orcid>0000-0002-1536-5841</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Herzen State Pedagogical University of Russia</orgName>
              <surname>Volgina</surname>
              <initials>Elena </initials>
            </individInfo>
          </author>
          <author num="003">
            <authorCodes>
              <orcid>0009-0002-3569-4981</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Herzen State Pedagogical University of Russia</orgName>
              <surname>Kulemina</surname>
              <initials>Sofya</initials>
            </individInfo>
          </author>
          <author num="004">
            <authorCodes>
              <orcid>0000-0001-5647-1854</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Kazan National Research Technological University</orgName>
              <surname>Galikhanov</surname>
              <initials>Mansour</initials>
            </individInfo>
          </author>
          <author num="005">
            <authorCodes>
              <orcid>0000-0002-8859-5621</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Kazan National Research Technological University</orgName>
              <surname>Minzagirova </surname>
              <initials>Alsu</initials>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">The effect of the montmorillonite-based filler on the electret properties of polypropylene</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">In the paper, the studies of electret properties of polypropylene with different percentages of montmorillonite have been carried out by methods of thermally stimulated potential relaxation and thermally stimulated currents. A significant effect of filler concentration on the electret state stability was revealed. The parameters of electrically active defects and the storage time of the electret state were determined. It was established that polypropylene with a 4% mass content of montmorillonite exhibited the best electret properties.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.17103</doi>
          <udk>538.9</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>electret</keyword>
            <keyword>composite polymer film</keyword>
            <keyword>electret state</keyword>
            <keyword>polypropylene</keyword>
            <keyword>montmorillonite</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2024.71.3/</furl>
          <file>03_29-37_17(1)2024.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>38-46</pages>
        <authors>
          <author num="001">
            <authorCodes>
              <orcid>0000-0002-4172-940X</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Alferov University</orgName>
              <surname>Dvoretckaia </surname>
              <initials>Liliya</initials>
            </individInfo>
          </author>
          <author num="002">
            <authorCodes>
              <orcid>0000-0002-8661-4083</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Alferov University</orgName>
              <surname>Mozharov</surname>
              <initials>Alexey</initials>
              <email>mozharov@spbau.ru</email>
              <address>St. Petersburg, Russian Federation</address>
            </individInfo>
          </author>
          <author num="003">
            <authorCodes>
              <orcid>0000-0001-8179-3169</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Alferov University</orgName>
              <surname>Goltaev </surname>
              <initials>Aleksandr </initials>
            </individInfo>
          </author>
          <author num="004">
            <authorCodes>
              <orcid>0000-0001-5547-9387</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Alferov University</orgName>
              <surname>Fedorov</surname>
              <initials>Vladimir</initials>
              <email>fedorov_vv@spbstu.ru</email>
            </individInfo>
          </author>
          <author num="005">
            <authorCodes>
              <orcid>0000-0001-9792-045X</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Mukhin</surname>
              <initials>Ivan</initials>
              <email>muhin_is@spbstu.ru</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">Numerical simulation of operating modes of heterostructural photodiodes based on indium arsenide nanowires on the silicon substrates</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">The paper presents the results of numerical simulation of the heterostructural diodes operation based on the array of indium arsenide nanowires on the silicon substrates with different polarities, namely n- or p-types. It has been found that it is possible to achieve theoretical values of the ideality factor equal to 1.1 and 2.1 respectively. The high quantum efficiency values are typical for the investigated heterostructures during separation of photogenerated charge carriers in the temperature range of 150–300 K.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.17104</doi>
          <udk>621.383.522</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>indium arsenide</keyword>
            <keyword>nanowire</keyword>
            <keyword>heterostructure</keyword>
            <keyword>silicon substrate</keyword>
            <keyword>numerical calculation</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2024.71.4/</furl>
          <file>04_38-46_17(1)2024.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>47-55</pages>
        <authors>
          <author num="001">
            <authorCodes>
              <orcid>0000-0003-2327-068X</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Mechanical Engineering Research Institute of the RAS</orgName>
              <surname>Alifov</surname>
              <initials>Alishir</initials>
              <email>a.alifov@yandex.ru</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">Oscillations under a nonlinear parametric action and combinations of delays</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">The paper considers oscillations under nonlinear parametric action and combinations of delays in elasticity and damping. The model for the study is a rod with a spring, which is driven by an energy source of limited power. To solve nonlinear differential equations of motion of the system, the method of direct linearization of nonlinearity has been used. Equations were obtained for determining the nonstationary and stationary values of the amplitude and phase of oscillations, the speed of the energy source. Based on the Routh – Hurwitz criteria, the conditions for the stability of stationary motion modes were derived. To obtain information about the combined effect of delays on the dynamics of oscillations, the calculations were carried out for their various values, linear and nonlinear elastic forces. The graphs constructed based on the calculation results clearly show the combined effect of various delay values on the amplitude-frequency curves. The delays measure the amplitude curve, shift it to the right-left, up-down, and affect the stability of the oscillations.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.17105</doi>
          <udk>534.16</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>oscillation</keyword>
            <keyword>model</keyword>
            <keyword>nonlinearity</keyword>
            <keyword>method</keyword>
            <keyword>parametric excitation</keyword>
            <keyword>delay</keyword>
            <keyword>elasticity</keyword>
            <keyword>damping</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2024.71.5/</furl>
          <file>05_47-55_17(1)2024.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>56-63</pages>
        <authors>
          <author num="001">
            <authorCodes>
              <orcid>0000-0002-6210-4003</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Ermak</surname>
              <initials>Sergey</initials>
            </individInfo>
          </author>
          <author num="002">
            <authorCodes>
              <orcid>0000-0003-0346-8349</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Semenov</surname>
              <initials>Vladimir</initials>
              <email>vladimir_semenov@mail.ru</email>
              <address>Russia, 195251, St.Petersburg, Polytechnicheskaya, 29</address>
            </individInfo>
          </author>
          <author num="003">
            <authorCodes>
              <orcid>0000-0001-7095-7981</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University </orgName>
              <surname>Baranov</surname>
              <initials>Alexey</initials>
            </individInfo>
          </author>
          <author num="004">
            <authorCodes>
              <orcid>0009-0009-6180-6538</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University </orgName>
              <surname>Rogatin </surname>
              <initials>Maxim</initials>
            </individInfo>
          </author>
          <author num="005">
            <authorCodes>
              <orcid>0009-0005-8838-6845</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University </orgName>
              <surname>Sergeeva</surname>
              <initials>Maria </initials>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">Effect of shield magnetization on variations in the frequency of onboard rubidium atomic clocks</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">In the paper, the results of a study of the influence of the magnetic shield magnetization on the relative frequency instability of small-sized rubidium atomic clocks have been presented. The atomic clock was placed in a rotating magnetic field, simulating the magnetic situation in the orbit of a navigation satellite, moving in orbit and rotating around its own axis. The magnetization of the magnetic shield of the atomic clock was shown to increase its shielding factor. This result makes it possible to significantly reduce the influence of geomagnetic field variations on the frequency stability of onboard atomic clocks.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.17106</doi>
          <udk>53.098</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>atomic clock</keyword>
            <keyword>magnetic field</keyword>
            <keyword>magnetic shield</keyword>
            <keyword>Allan deviation</keyword>
            <keyword>navigation satellite</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2024.71.6/</furl>
          <file>06_56-63_17(1)2024.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>64-70</pages>
        <authors>
          <author num="001">
            <authorCodes>
              <orcid>0000-0001-5219-6744</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Taradaev</surname>
              <initials>Evgeniy</initials>
            </individInfo>
          </author>
          <author num="002">
            <individInfo lang="ENG">
              <surname>Sominski</surname>
              <initials>Gennadiy</initials>
              <email>sominski@rphf.spbstu.ru</email>
            </individInfo>
          </author>
          <author num="003">
            <authorCodes>
              <orcid>0000-0001-5548-7379</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Taradaev </surname>
              <initials>Sergei </initials>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">Current and speed characteristics of electron flows formed by the electron-optical system with a multi-tip field emitter</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">The article presents the results of studies of the characteristics of electron flows generated by an electron-optical system with a multi-tip field emitter. Information has been obtained on important beam parameters: the beam current, electron velocity spectrum, pitch factor. The spread in transverse velocity did not exceed 50 % in the studied modes. The shape of the spectra did not depend on the magnitude of the magnetic field and did only weakly on the current in the beam.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.17107</doi>
          <udk>537.533</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>field emission</keyword>
            <keyword>multi-tip field emitter</keyword>
            <keyword>electron flow</keyword>
            <keyword>velocity spread</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2024.71.7/</furl>
          <file>07_64-70_17(1)2024.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>71-80</pages>
        <authors>
          <author num="001">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University </orgName>
              <surname>Zolotorevsky</surname>
              <initials>Nikolai</initials>
              <email>zolotorevsky@phmf.spbstu.ru</email>
            </individInfo>
          </author>
          <author num="002">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Rybin</surname>
              <initials>Valery</initials>
              <email>rybinvv@mail.com</email>
              <address>Russia, 195251, St.Petersburg, Polytechnicheskaya, 29</address>
            </individInfo>
          </author>
          <author num="003">
            <individInfo lang="ENG">
              <orgName>NRC "Kurchatov Institute" - CRISM "Prometey", </orgName>
              <surname>Ushanova</surname>
              <initials>Elina </initials>
              <email>elinaus@mail.ru</email>
            </individInfo>
          </author>
          <author num="004">
            <individInfo lang="ENG">
              <orgName>Institute for Problems in Mechanical Engineering of RAS (the branch of  Institute of Applied Physics of RAS) </orgName>
              <surname>Perevezentsev</surname>
              <initials>Vladimir </initials>
              <email>v.n.perevezentsev@gmail.com</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">The scaling of misorientation angle distribution at strain-induced boundaries in copper deformed by tension under various conditions</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">In the paper, polycrystalline copper deformed by tension under different conditions of loading has been studied using electron backscatter diffraction. The microstructure of areas located on the longitudinal section of the specimens deformed until fracture was examined. The fragmentation of initial grains in case of deformation at room temperature was observed whereas at 400°С, considerable dynamic recovery and recrystallization significantly influenced the microstructure formation. A procedure for computer analysis of the orientation maps has been put forward, which allows separating recrystallized regions from the non-recrystallized ones and further analyzing the misorientation statistics of strain-induced boundaries. A scaling behavior of the strain-induced misorientation distributions was shown to take place. The mechanism of strain-induced boundary evolution was proved to remain unchanged for all studied deformation conditions, in spite of recovery and recrystallization occurring at elevated temperatures.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.17108</doi>
          <udk>548.4</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>polycrystalline copper</keyword>
            <keyword>plastic deformation</keyword>
            <keyword>recrystallization</keyword>
            <keyword>microstructure</keyword>
            <keyword>electron backscatter diffraction</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2024.71.8/</furl>
          <file>08_71-80_17(1)2024.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>81-92</pages>
        <authors>
          <author num="001">
            <authorCodes>
              <orcid>0000-0003-4310-1189</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University </orgName>
              <surname>Abramova </surname>
              <initials>Marina </initials>
            </individInfo>
          </author>
          <author num="002">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University </orgName>
              <surname>Malykh </surname>
              <initials>Anastasia </initials>
              <email>anastasiyaa2s3d4f5g6@gmail.com</email>
            </individInfo>
          </author>
          <author num="003">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University </orgName>
              <surname>Gatieva</surname>
              <initials>Iana </initials>
              <email>yana.gatieva6@gmail.com</email>
            </individInfo>
          </author>
          <author num="004">
            <authorCodes>
              <orcid>0000-0001-5640-8142</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University </orgName>
              <surname>Kazalov </surname>
              <initials>Maksim </initials>
            </individInfo>
          </author>
          <author num="005">
            <authorCodes>
              <orcid>0000-0002-9562-1998</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University </orgName>
              <surname>Selkova </surname>
              <initials>Polina </initials>
            </individInfo>
          </author>
          <author num="006">
            <authorCodes>
              <orcid>0000-0003-0462-1157</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University </orgName>
              <surname>Yakimov</surname>
              <initials>Alexander</initials>
            </individInfo>
          </author>
          <author num="007">
            <authorCodes>
              <orcid>0000-0002-0070-4898</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <surname>Vasileva </surname>
              <initials>Aleksandra</initials>
            </individInfo>
          </author>
          <author num="008">
            <authorCodes>
              <orcid>0000-0003-0901-4188</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Arseniev</surname>
              <initials>Anatoly</initials>
              <email>arsenievanatoly@gmail.com</email>
            </individInfo>
          </author>
          <author num="009">
            <authorCodes>
              <orcid>0000-0003-0562-0156</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Khodorkovskii</surname>
              <initials>Mikhail</initials>
              <email>khodorkovskii@gmail.com</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">An analysis of the Asgardarchaea Cas1_3 protein: Experimental characterization of a potential intermediate in the evolution of CRISPR-Cas systems</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">The evolution of CRISPR-Cas systems and their possible origin from mobile genetic elements of transposons are currently being actively studied. Recently, unique systems have been discovered in a new group of Asgardarchaea that presumably function as transposons and contain Cas1-like proteins. In this study, the genetic and biochemical technologies were used, along with electrophoresis, affinity chromatography, and high-resolution mass spectrometry, to obtain and partially characterize a recombinant version of one of these proteins, Cas1_3. In particular, it was shown to have the ATPase activity, the quantitative value of the latter being determined by the spectrophotometric method. The results obtained may be useful in understanding the mechanisms of functioning the potential ancestor of CRISPR-Cas systems.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.17109</doi>
          <udk>577.322</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>characterization</keyword>
            <keyword>CRISPR-Cas</keyword>
            <keyword>evolution intermediate form</keyword>
            <keyword>Asgardarchaea</keyword>
            <keyword>transposon</keyword>
            <keyword>recombinant protein</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2024.71.9/</furl>
          <file>09_81-92_17(1)2024.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>93-102</pages>
        <authors>
          <author num="001">
            <authorCodes>
              <orcid>0000-0002-8910-4775</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Lobanov</surname>
              <initials>Andrey</initials>
              <email>lobanov2.aa@edu.spbstu.ru</email>
            </individInfo>
          </author>
          <author num="002">
            <authorCodes>
              <orcid>0000-0003-0309-5917</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Berdnikov</surname>
              <initials>Yaroslav</initials>
              <email>berdnikov@spbstu.ru</email>
            </individInfo>
          </author>
          <author num="003">
            <authorCodes>
              <orcid>0009-0005-7144-4746</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University </orgName>
              <surname>Muzyaev</surname>
              <initials>Evgeniy</initials>
              <email>muzyaev.ev@edu.spbstu.ru</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">A generative adversarial network as the basis for a semi-inclusive deep inelastic lepton scattering generator on a polarized proton</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">A neural network, that allows someone to obtain results for semi-inclusive deep inelastic scattering of charged leptons on polarized protons, with the production of pions or strange K mesons, has been developed in this study. The research covered both transverse and longitudinal polarizations of the proton. A range of initial energies of colliding particles was chosen from 20 to 100 GeV in a central mass system. The range is typical for electron-ion colliders currently being designed. It has been shown that it is possible to predict the physical characteristics of the final lepton and hadron with high accuracy as well as different variants of proton polarization using the proposed neural network.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.17110</doi>
          <udk>539.12</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>semi-inclusive deep inelastic scattering</keyword>
            <keyword>asymmetries</keyword>
            <keyword>machine learning</keyword>
            <keyword>neural network</keyword>
            <keyword>generative-adversarial network</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2024.71.10/</furl>
          <file>10_93-102_17(1)2024.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>103-113</pages>
        <authors>
          <author num="001">
            <authorCodes>
              <orcid>0000-0002-1722-1964</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Kozlov</surname>
              <initials>Artemy</initials>
              <email>kozlov_as@spbstu.ru</email>
            </individInfo>
          </author>
          <author num="002">
            <authorCodes>
              <orcid>0000-0001-7083-9184</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Medvedev</surname>
              <initials>Andrei</initials>
              <email>medvedev@spbstu.ru</email>
            </individInfo>
          </author>
          <author num="003">
            <authorCodes>
              <orcid>0000-0002-7901-3933</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <surname>Motorin</surname>
              <initials>Evgenii</initials>
            </individInfo>
          </author>
          <author num="004">
            <authorCodes>
              <orcid>0000-0003-0213-5833</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University </orgName>
              <surname>Savelyev </surname>
              <initials>Evgeny </initials>
            </individInfo>
          </author>
          <author num="005">
            <authorCodes>
              <orcid>0000-0003-2083-8989</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Temkina</surname>
              <initials>Valentina</initials>
              <email>temkina_vs@spbstu.ru</email>
            </individInfo>
          </author>
          <author num="006">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University </orgName>
              <surname>Filippov </surname>
              <initials>Valery </initials>
              <email>filippov_vn@spbstu.ru</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">A picosecond fiber laser based on a tapered ytterbium fiber with the low birefringence</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">This paper presents the results of the experimental study of a fiber laser connected according to the MOPA scheme, where a power amplifier was made of an ytterbium double-clad tapered spun fiber with low intrinsic birefringence. A peak output power of 160 kW with the average power of 160 W has been achieved at 1040 nm wavelength, 50 ps pulse duration and its repetition frequency of 20 MHz; the laser beam quality parameter and the mode-spot diameter being 1.15 and 35 μm, respectively. The values of azimuth, ellipticity and degree of polarization of the output radiation were found; their little sensitivity to the pump power was demonstrated. This research was the next important step in the development of high-power picosecond fiber lasers technology.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.17111</doi>
          <udk>535.515</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>ytterbium spun tapered fiber</keyword>
            <keyword>picosecond fiber laser</keyword>
            <keyword>intrinsic birefringence</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2024.71.11/</furl>
          <file>11_103-113_17(1)2024.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>114-129</pages>
        <authors>
          <author num="001">
            <individInfo lang="ENG">
              <orgName>Institute for Problems of Mechanical Engineering, RAS</orgName>
              <surname>Fedotov</surname>
              <initials>Aleksandr</initials>
              <email>alvafed@yandex.ru</email>
              <address>St. Petersburg, Russian Federation</address>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">A comparison of approaches to specifying the modal matrices in the modal control of elastic systems with and without observers</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">The implementation of modal control of distributed elastic objects involves the use of modal matrices: a mode analyzer and a mode synthesizer specifying the linear transformation of vectors of measured and control signals in order to separate the eigenmodes of the object in the control system. The standard method for calculating the modal matrices is the inversion of the influence matrices. The article proposes an alternative method: transposing the influence matrices with normalization of the action on different modes. As an example, the problem of suppression of forced vibrations of a thin metal beam using piezoelectric sensors and actuators has been solved numerically, and different combinations of the above methods and different variants of normalization have been tested. Two types of control systems were considered, the former being based on modal and frequency filters and the latter being based on modal observers. The best control result was shown to be achieved with the combined use of the above methods for both types of control systems considered.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.17112</doi>
          <udk>531.391+681.5</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>modal control</keyword>
            <keyword>modal matrices</keyword>
            <keyword>mode analyzer</keyword>
            <keyword>mode synthesizer</keyword>
            <keyword>observer</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2024.71.12/</furl>
          <file>12_114-129_17(1)2024.pdf</file>
        </files>
      </article>
    </articles>
  </issue>
</journal>
