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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">Physical Oceanography</journal-id>
      <journal-title-group>
        <journal-title xml:lang="en">Physical Oceanography</journal-title>
      </journal-title-group>
      <issn publication-format="print">1573-160X</issn>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="publisher-id">20260302</article-id>
      
      <article-categories>
        <subj-group subj-group-type="toc-heading" xml:lang="en">
          <subject>Analysis of observations and methods of calculating Hydrophysical fields in the ocean</subject>
        </subj-group>
        <subj-group subj-group-type="article-type">
          <subject>Research Article</subject>
        </subj-group>
      </article-categories>

      <title-group>
        <article-title xml:lang="en">Synchronization of Long-Wave Fluctuations of Sea Level in Adjacent Bays: The Example of the Kholmsk Bays (Sakhalin Island)</article-title>
      </title-group>

      <contrib-group>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5184-2350</contrib-id>
          <contrib-id contrib-id-type="researcherid">A-9300-2016</contrib-id>
          <contrib-id contrib-id-type="spin">8343-8577</contrib-id>
          <name>
            <surname>Kovalev</surname>
            <given-names>D. P.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>d.kovalev@imgq.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7509-4107</contrib-id>
          <contrib-id contrib-id-type="researcherid">V-8662-2018</contrib-id>
          <contrib-id contrib-id-type="spin">7465-3828</contrib-id>
          <name>
            <surname>Kovalev</surname>
            <given-names>P. D.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>p.kovalev@imgq.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5752-7562</contrib-id>
          <contrib-id contrib-id-type="researcherid">P-6662-2017</contrib-id>
          <contrib-id contrib-id-type="spin">4548-0051</contrib-id>
          <name>
            <surname>Manilyuk</surname>
            <given-names>Yu. V.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>uvmsev@yandex.ru</email>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
      </contrib-group>

      <aff id="aff1">
        <institution>Institute of Marine Geology and Geophysics, Far Eastern Branch of Russian Academy of Sciences</institution>
        <addr-line>Yuzhno-Sakhalinsk</addr-line>
        <country country="RU">Russia</country>
      </aff>
      <aff id="aff2">
        <institution>Marine Hydrophysical Institute of RAS</institution>
        <addr-line>Sevastopol</addr-line>
        <country country="RU">Russia</country>
      </aff>

      <pub-date date-type="pub" iso-8601-date="2026-02-28" publication-format="electronic">
        <day>28</day>
        <month>02</month>
        <year>2026</year>
      </pub-date>
      <volume>33</volume>
      <issue>3</issue>
      <fpage>404</fpage>
      <lpage>419</lpage>

      <history>
        <date date-type="received" iso-8601-date="2025-04-09">
          <day>09</day>
          <month>04</month>
          <year>2025</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2025-07-10">
          <day>10</day>
          <month>07</month>
          <year>2025</year>
        </date>
        <date date-type="accepted" iso-8601-date="2025-11-10">
          <day>10</day>
          <month>11</month>
          <year>2025</year>
        </date>
      </history>

      <permissions>
        <copyright-statement xml:lang="en">Copyright ©; 2026, D. P. Kovalev, P. D. Kovalev, Yu. V. Manilyuk</copyright-statement>
        <copyright-year>2026</copyright-year>
        <copyright-holder xml:lang="en">D. P. Kovalev, P. D. Kovalev, Yu. V. Manilyuk</copyright-holder>
        <ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/>
        <license>
          <ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc/4.0/</ali:license_ref>
        </license>
      </permissions>
      <self-uri xlink:href="https://physical-oceanography.ru/repository/issues/2026/03/02/" xlink:title="Article page">https://physical-oceanography.ru/repository/issues/2026/03/02/</self-uri>
      <abstract xml:lang="en">
        <p><bold>Purpose.</bold> The purpose of the study is to define the possibility of synchronizing long-wave fluctuations in the neighboring bays of the Kholmsk city based on the Van der Pol oscillator model, as well as the possibility for long waves to penetrate to the coastal waters adjacent to Kholmsk from the Moneron Island region and from the water areas near the cities of Gornozavodsk, Nevelsk, and Chekhov using in-situ observation data.</p>
        <p><bold>Methods and Results.</bold> The autonomous wave recorders ARW-14K installed in the Kholmsk bays, and the ARW-10 recorder located in the water areas nearby the cities of Gornozavodsk, Nevelsk, and Chekhov were used to obtain in situ data on sea level fluctuations. The measurement resolution of all the instruments is 1 s. The time series were researched through the spectral analysis of sea level fluctuations using the Kyma software. Calculation of the dispersion relation for the Stokes edge waves in the flat-sloping-bottom approximation has demonstrated the possibility of generating edge waves with the 8–9 min period in the water areas nearby the populated regions at the southwestern coast of Sakhalin Island. The reasons for unlimited growth of the phase difference of sea level fluctuations shown in the phase diagram for the Kholmsk-Severny and Trade Port bays were analyzed using a numerical solution of the Van der Pol equation.</p>
        <p><bold>Conclusions.</bold> It is established that a well pronounced wave process with the 8.27 min oscillation period is observed only in the water area nearby Gornozavodsk, and these waves do not reach the Kholmsk outer water area. The sea level fluctuations (period is approximately 8 min.) recorded by the tide gauge at Trade Port are the result of fluctuation interactions in the bays Trade Port and Kholmsk-Severny. A numerical solution of the problem on forced synchronization of a dynamic system subjected to a weak periodic stimulus using the Van der Pol equation has shown the possibility of unlimited growth of the phase differences between the phase of external force, i. e. the waves incoming from the neighboring Kholmsk-Severny Bay (period is 8.65 min), and the phase of natural oscillations in the Trade Port Bay (period is 4.7 min), which are obtained from in situ data. At a small value of the nonlinearity parameter, the oscillations of the Van der Pol oscillator are close to the harmonic ones, and in this case the phase difference of fluctuations changes abruptly and increases continuously.</p>
      </abstract>

      <kwd-group>
        <kwd>sea level fluctuations</kwd>
        <kwd>edge waves</kwd>
        <kwd>oscillation synchronization</kwd>
        <kwd>Van der Pol oscillator</kwd>
      </kwd-group>

      <funding-group>
        <funding-statement xml:lang="en">Numerical calculations, collection of in situ data, their processing, and subsequent analysis were carried within the framework of state assignment of the FSBSI IMGandG, FEB of RAS FWWM-2024-0002; analysis and interpretation of the results of in situ data processing, and numerical calculations were done within the framework of state assignment of the FSBSI FRC MHI FNNN-2024-0016.</funding-statement>
      </funding-group>
    </article-meta>
  </front>

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    <ref-list>
      <title>REFERENCES</title>
      <ref id="B1">
        <label>1.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Rabinovich</surname><given-names>A.B.</given-names></name>
          </person-group>
          <article-title>Seiches and Harbor Oscillations</article-title>
          <source>Handbook of Coastal and Ocean Engineering</source>
          <year>2009</year>
          <fpage>193</fpage>
          <lpage>236</lpage>
          <pub-id pub-id-type="doi">10.1142/9789812819307_0009</pub-id>
        </element-citation>
      </ref>
      <ref id="B2">
        <label>2.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Rabinovich</surname><given-names>A.B.</given-names></name>
            <name><surname>Kovalev</surname><given-names>P.D.</given-names></name>
            <name><surname>Kovalev</surname><given-names>D.P.</given-names></name>
          </person-group>
          <article-title>The Noto Peninsula Tsunami of 1 January 2024 as Observed in the Northern Sea of Japan</article-title>
          <source>Ocean Engineering</source>
          <year>2025</year>
          <volume>327</volume>
          <fpage>120892</fpage>
          <pub-id pub-id-type="doi">10.1016/j.oceaneng.2025.120892</pub-id>
        </element-citation>
      </ref>
      <ref id="B3">
        <label>3.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Manilyuk</surname><given-names>Yu.V.</given-names></name>
            <name><surname>Cherkesov</surname><given-names>L.V.</given-names></name>
          </person-group>
          <article-title>Investigation of Seiche Oscillations in a Free Entrance Bay</article-title>
          <source>Physical Oceanography</source>
          <year>2017</year>
          <issue>4</issue>
          <fpage>16</fpage>
          <lpage>25</lpage>
          <pub-id pub-id-type="doi">10.22449/1573-160X-2017-4-16-25</pub-id>
        </element-citation>
      </ref>
      <ref id="B4">
        <label>4.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Manilyuk</surname><given-names>Yu.V.</given-names></name>
            <name><surname>Lazorenko</surname><given-names>D.I.</given-names></name>
            <name><surname>Fomin</surname><given-names>V.V.</given-names></name>
          </person-group>
          <article-title>Investigation of Seiche Oscillations in the Adjacent Bays by the Example of the Sevastopol and the Quarantine Bays</article-title>
          <source>Physical Oceanography</source>
          <year>2020</year>
          <volume>27</volume>
          <issue>3</issue>
          <fpage>242</fpage>
          <lpage>256</lpage>
          <pub-id pub-id-type="doi">10.22449/1573-160X-2020-3-242-256</pub-id>
        </element-citation>
      </ref>
      <ref id="B5">
        <label>5.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Dolgikh</surname><given-names>G.I.</given-names></name>
            <name><surname>Budrin</surname><given-names>S.S.</given-names></name>
            <name><surname>Dolgikh</surname><given-names>S.G.</given-names></name>
            <name><surname>Plotnikov</surname><given-names>A.A.</given-names></name>
            <name><surname>Chupin</surname><given-names>V.A.</given-names></name>
            <name><surname>Shvets</surname><given-names>V.A.</given-names></name>
            <name><surname>Yakovenko</surname><given-names>S.V.</given-names></name>
          </person-group>
          <article-title>Free Oscillations of Water Level in the Posyet Gulf Bays (the Sea of Japan)</article-title>
          <source>Russian Meteorology and Hydrology</source>
          <year>2016</year>
          <volume>41</volume>
          <issue>8</issue>
          <fpage>559</fpage>
          <lpage>563</lpage>
          <pub-id pub-id-type="doi">10.3103/S1068373916080057</pub-id>
        </element-citation>
      </ref>
      <ref id="B6">
        <label>6.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Medvedev</surname><given-names>I.P.</given-names></name>
            <name><surname>Arkhipkin</surname><given-names>V.S.</given-names></name>
          </person-group>
          <article-title>Sea Level Oscillations in the Golubaya Bay (The Town of Gelendzhik)</article-title>
          <source>Vestnik Moskovskogo Universiteta. Seriya 5, Geografiya</source>
          <year>2015</year>
          <issue>3</issue>
          <fpage>70</fpage>
          <lpage>78</lpage>
          <comment>(in Russian)</comment>
        </element-citation>
      </ref>
      <ref id="B7">
        <label>7.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Cuomo</surname><given-names>G.</given-names></name>
            <name><surname>Guza</surname><given-names>R.T.</given-names></name>
          </person-group>
          <article-title>Infragravity Seiches in a Small Harbor</article-title>
          <source>Journal of Waterway, Port, Coastal, and Ocean Engineering</source>
          <year>2017</year>
          <volume>143</volume>
          <issue>5</issue>
          <fpage>04017032</fpage>
          <pub-id pub-id-type="doi">10.1061/(asce)ww.1943-5460.0000392</pub-id>
        </element-citation>
      </ref>
      <ref id="B8">
        <label>8.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Vidal</surname><given-names>C.</given-names></name>
            <name><surname>Medina</surname><given-names>R.</given-names></name>
            <name><surname>Monserrat</surname><given-names>S.</given-names></name>
            <name><surname>Martin</surname><given-names>F.L.</given-names></name>
          </person-group>
          <article-title>Harbor Resonance Induced by Pressure-Forced Surface Waves</article-title>
          <source>Coastal Engineering 2000. Proceedings of 27th International Conference on Coastal Engineering</source>
          <year>2000</year>
          <fpage>3615</fpage>
          <lpage>3628</lpage>
          <pub-id pub-id-type="doi">10.1061/40549(276)282</pub-id>
        </element-citation>
      </ref>
      <ref id="B9">
        <label>9.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>De Jong</surname><given-names>M.P.C.</given-names></name>
            <name><surname>Battjes</surname><given-names>J.A.</given-names></name>
          </person-group>
          <article-title>Seiche Characteristics of Rotterdam Harbour</article-title>
          <source>Coastal Engineering</source>
          <year>2004</year>
          <volume>51</volume>
          <issue>5-6</issue>
          <fpage>373</fpage>
          <lpage>386</lpage>
          <pub-id pub-id-type="doi">10.1016/j.coastaleng.2004.04.002</pub-id>
        </element-citation>
      </ref>
      <ref id="B10">
        <label>10.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Lepelletier</surname><given-names>T.G.</given-names></name>
            <name><surname>Raichlen</surname><given-names>F.</given-names></name>
          </person-group>
          <article-title>Harbor Oscillations Induced by Nonlinear Transient Long Waves</article-title>
          <source>Journal of Waterway, Port, Coastal and Ocean Engineering</source>
          <year>1987</year>
          <volume>113</volume>
          <issue>4</issue>
          <fpage>381</fpage>
          <lpage>400</lpage>
          <pub-id pub-id-type="doi">10.1061/(ASCE)0733-950X(1987)113:4(381)</pub-id>
        </element-citation>
      </ref>
      <ref id="B11">
        <label>11.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Ichinose</surname><given-names>G.A.</given-names></name>
            <name><surname>Anderson</surname><given-names>J.G.</given-names></name>
            <name><surname>Satake</surname><given-names>K.</given-names></name>
            <name><surname>Schweickert</surname><given-names>R.A.</given-names></name>
            <name><surname>Lahren</surname><given-names>M.M.</given-names></name>
          </person-group>
          <article-title>The Potential Hazard from Tsunami and Seiche Waves Generated by Large Earthquakes within Lake Tahoe, California-Nevada</article-title>
          <source>Geophysical Research Letters</source>
          <year>2000</year>
          <volume>27</volume>
          <issue>8</issue>
          <fpage>1203</fpage>
          <lpage>1206</lpage>
          <pub-id pub-id-type="doi">10.1029/1999GL011119</pub-id>
        </element-citation>
      </ref>
      <ref id="B12">
        <label>12.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Giese</surname><given-names>G.S.</given-names></name>
            <name><surname>Chapman</surname><given-names>D.C.</given-names></name>
            <name><surname>Black</surname><given-names>P.G.</given-names></name>
            <name><surname>Fornshell</surname><given-names>J.A.</given-names></name>
          </person-group>
          <article-title>Causation of Large-Amplitude Coastal Seiches on the Caribbean Coast of Puerto Rico</article-title>
          <source>Journal of Physical Oceanography</source>
          <year>1990</year>
          <volume>20</volume>
          <issue>9</issue>
          <fpage>1449</fpage>
          <lpage>1458</lpage>
          <pub-id pub-id-type="doi">10.1175/1520-0485(1990)020%3C1449:colacs%3E2.0.co;2</pub-id>
        </element-citation>
      </ref>
      <ref id="B13">
        <label>13.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Bowers</surname><given-names>E.C.</given-names></name>
          </person-group>
          <article-title>Low Frequency Waves in Intermediate Water Depths</article-title>
          <source>Coastal Engineering 1992. Proceedings of the 23rd International Conference on Coastal Engineering</source>
          <year>1992</year>
          <fpage>832</fpage>
          <lpage>845</lpage>
          <pub-id pub-id-type="doi">10.1061/9780872629332.062</pub-id>
        </element-citation>
      </ref>
      <ref id="B14">
        <label>14.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Melito</surname><given-names>I.</given-names></name>
            <name><surname>Cuomo</surname><given-names>G.</given-names></name>
            <name><surname>Bellotti</surname><given-names>G.</given-names></name>
            <name><surname>Franco</surname><given-names>L.</given-names></name>
          </person-group>
          <article-title>Field Measurements of Harbour Resonance at Marina di Carrara</article-title>
          <source>Coastal Engineering 2006. Proceedings of the 30th International Conference on Coastal Engineering</source>
          <year>2006</year>
          <fpage>1280</fpage>
          <lpage>1292</lpage>
          <pub-id pub-id-type="doi">10.1142/9789812709554_0109</pub-id>
        </element-citation>
      </ref>
      <ref id="B15">
        <label>15.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Kovalev</surname><given-names>P.D.</given-names></name>
            <name><surname>Kovalev</surname><given-names>D.P.</given-names></name>
          </person-group>
          <article-title>Long-Wave Processes in Southeastern Shelf Sakhalin Island</article-title>
          <source>Ecological Systems and Devices</source>
          <year>2018</year>
          <issue>8</issue>
          <fpage>36</fpage>
          <lpage>41</lpage>
          <pub-id pub-id-type="doi">10.25791/esp.08.2018.121</pub-id>
          <comment>(in Russian)</comment>
        </element-citation>
      </ref>
      <ref id="B16">
        <label>16.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Squire</surname><given-names>V.A.</given-names></name>
            <name><surname>Kovalev</surname><given-names>P.D.</given-names></name>
            <name><surname>Kovalev</surname><given-names>D.P.</given-names></name>
            <name><surname>Zarochintsev</surname><given-names>V.S.</given-names></name>
          </person-group>
          <article-title>On the Trapping of Energy from Storm Surges on the Coasts of the Sea of Okhotsk</article-title>
          <source>Estuarine, Coastal and Shelf Science</source>
          <year>2021</year>
          <volume>250</volume>
          <fpage>107136</fpage>
          <pub-id pub-id-type="doi">10.1016/j.ecss.2020.107136</pub-id>
        </element-citation>
      </ref>
      <ref id="B17">
        <label>17.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Clarke</surname><given-names>D.J.</given-names></name>
          </person-group>
          <article-title>High Frequency Edge Waves on an Exponential Shelf</article-title>
          <source>Deutsche Hydrografische Zeitschrift</source>
          <year>1974</year>
          <volume>26</volume>
          <issue>6</issue>
          <fpage>265</fpage>
          <lpage>271</lpage>
          <pub-id pub-id-type="doi">10.1007/BF02226668</pub-id>
        </element-citation>
      </ref>
      <ref id="B18">
        <label>18.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Guerrini</surname><given-names>M.</given-names></name>
            <name><surname>Bellotti</surname><given-names>G.</given-names></name>
            <name><surname>Fan</surname><given-names>Y.</given-names></name>
            <name><surname>Franco</surname><given-names>L.</given-names></name>
          </person-group>
          <article-title>Numerical Modelling of Long Waves Amplification at Marina di Carrara Harbour</article-title>
          <source>Applied Ocean Research</source>
          <year>2014</year>
          <volume>48</volume>
          <fpage>322</fpage>
          <lpage>330</lpage>
          <pub-id pub-id-type="doi">10.1016/j.apor.2014.10.002</pub-id>
        </element-citation>
      </ref>
      <ref id="B19">
        <label>19.</label>
        <element-citation publication-type="book">
          <person-group person-group-type="author">
            <name><surname>Kovalev</surname><given-names>P.D.</given-names></name>
            <name><surname>Shevchenko</surname><given-names>G.V.</given-names></name>
            <name><surname>Kovalev</surname><given-names>D.P.</given-names></name>
          </person-group>
          <article-title>Experimental Studies of Tsunamis in the Port of Kholmsk</article-title>
          <source>News Academy of Engineering Sciences A. M. Prokhorov, 20: Applied Mathematics and Mechanics</source>
          <year>2007</year>
          <fpage>68</fpage>
          <lpage>79</lpage>
          <comment>(in Russian)</comment>
        </element-citation>
      </ref>
      <ref id="B20">
        <label>20.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Kovalev</surname><given-names>D.P.</given-names></name>
            <name><surname>Manilyuk</surname><given-names>Yu.V.</given-names></name>
            <name><surname>Kovalev</surname><given-names>P.D.</given-names></name>
          </person-group>
          <article-title>Sea Level Oscillations in the Adjacent Bays - Trade Port and Kholmsk-Severny (Sakhalin Island)</article-title>
          <source>Physical Oceanography</source>
          <year>2024</year>
          <volume>31</volume>
          <issue>3</issue>
          <fpage>409</fpage>
          <lpage>426</lpage>
        </element-citation>
      </ref>
      <ref id="B21">
        <label>21.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Vutrina</surname><given-names>A.S.</given-names></name>
            <name><surname>Shustin</surname><given-names>V.A.</given-names></name>
            <name><surname>Khramushin</surname><given-names>V.N.</given-names></name>
            <name><surname>Shevchenko</surname><given-names>G.V.</given-names></name>
            <name><surname>Ivelskaya</surname><given-names>T.N.</given-names></name>
          </person-group>
          <article-title>Research of the Hydrodynamic Conditions of the Kholmsk Seaport Water Area</article-title>
          <source>Vesnik of Far East Branch of the Russian Academy of Sciences</source>
          <year>2004</year>
          <issue>1</issue>
          <fpage>40</fpage>
          <lpage>51</lpage>
          <comment>(in Russian)</comment>
        </element-citation>
      </ref>
      <ref id="B22">
        <label>22.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Plekhanov</surname><given-names>Ph.A.</given-names></name>
            <name><surname>Kovalev</surname><given-names>D.P.</given-names></name>
          </person-group>
          <article-title>The Complex Program of Processing and Analysis of Time-Series Data of Sea Level on the Basis of Author's Algorithms</article-title>
          <source>Geoinformatika</source>
          <year>2016</year>
          <issue>1</issue>
          <fpage>44</fpage>
          <lpage>53</lpage>
          <comment>(in Russian)</comment>
        </element-citation>
      </ref>
      <ref id="B23">
        <label>23.</label>
        <element-citation publication-type="book">
          <person-group person-group-type="author">
            <name><surname>Kovalev</surname><given-names>D.P.</given-names></name>
          </person-group>
          <source>Kyma. PC Software</source>
          <publisher-loc>Yuzhno-Sakhalinsk</publisher-loc>
          <publisher-name>IMGiG FEB RAS</publisher-name>
          <year>2018</year>
          <comment>State Registration No. RU2018618773 (in Russian)</comment>
        </element-citation>
      </ref>
      <ref id="B24">
        <label>24.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Ursell</surname><given-names>F.</given-names></name>
          </person-group>
          <article-title>Edge Waves on a Sloping Beach</article-title>
          <source>Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences</source>
          <year>1952</year>
          <volume>214</volume>
          <issue>1116</issue>
          <fpage>79</fpage>
          <lpage>97</lpage>
          <pub-id pub-id-type="doi">10.1098/rspa.1952.0152</pub-id>
        </element-citation>
      </ref>
      <ref id="B25">
        <label>25.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Holman</surname><given-names>R.A.</given-names></name>
            <name><surname>Bowen</surname><given-names>A.J.</given-names></name>
          </person-group>
          <article-title>Longshore Structure of Infragravity Wave Motions</article-title>
          <source>Journal of Geophysical Research: Oceans</source>
          <year>1984</year>
          <volume>89</volume>
          <issue>C4</issue>
          <fpage>6446</fpage>
          <lpage>6452</lpage>
          <pub-id pub-id-type="doi">10.1029/JC089iC04p06446</pub-id>
        </element-citation>
      </ref>
      <ref id="B26">
        <label>26.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Kovalev</surname><given-names>P.D.</given-names></name>
            <name><surname>Kovalev</surname><given-names>D.P.</given-names></name>
            <name><surname>Shishkin</surname><given-names>A.A.</given-names></name>
          </person-group>
          <article-title>Study of Waves in the Bays and on the Coast of Shikotan Island in the Lesser Kuril Ridge</article-title>
          <source>Geosystems of Transition Zones</source>
          <year>2020</year>
          <volume>4</volume>
          <issue>2</issue>
          <fpage>250</fpage>
          <lpage>258</lpage>
          <pub-id pub-id-type="doi">10.30730/gtzz.2020.4.2.250-258</pub-id>
        </element-citation>
      </ref>
      <ref id="B27">
        <label>27.</label>
        <element-citation publication-type="book">
          <person-group person-group-type="editor">
            <name><surname>Levin</surname><given-names>B.V.</given-names></name>
            <name><surname>Tikhonov</surname><given-names>I.N.</given-names></name>
          </person-group>
          <source>The Nevelskoye Earthquake and Tsunami of August 2, 2007, Sakhalin Island</source>
          <publisher-loc>Moscow</publisher-loc>
          <publisher-name>Janus-K</publisher-name>
          <year>2009</year>
          <size units="pages">204</size>
          <comment>(in Russian)</comment>
        </element-citation>
      </ref>
      <ref id="B28">
        <label>28.</label>
        <element-citation publication-type="book">
          <person-group person-group-type="author">
            <name><surname>Yaffee</surname><given-names>R.A.</given-names></name>
            <name><surname>McGee</surname><given-names>M.</given-names></name>
          </person-group>
          <source>Introduction to Time Series Analysis and Forecasting: With Applications of SAS and SPSS</source>
          <publisher-loc>New York</publisher-loc>
          <publisher-name>Academic Press Inc.</publisher-name>
          <year>2000</year>
          <size units="pages">513</size>
        </element-citation>
      </ref>
      <ref id="B29">
        <label>29.</label>
        <element-citation publication-type="book">
          <person-group person-group-type="author">
            <name><surname>Marple</surname><given-names>S.L.</given-names></name>
          </person-group>
          <source>Digital Spectral Analysis: With Applications</source>
          <publisher-loc>Upper Saddle River, New Jersey</publisher-loc>
          <publisher-name>Prentice-Hall</publisher-name>
          <year>1987</year>
          <size units="pages">492</size>
        </element-citation>
      </ref>
      <ref id="B30">
        <label>30.</label>
        <element-citation publication-type="book">
          <person-group person-group-type="author">
            <name><surname>Ott</surname><given-names>E.</given-names></name>
          </person-group>
          <source>Chaos in Dynamical Systems</source>
          <edition>Second Edition</edition>
          <publisher-loc>Cambridge</publisher-loc>
          <publisher-name>Cambridge University Press</publisher-name>
          <year>2002</year>
          <size units="pages">490</size>
          <pub-id pub-id-type="doi">10.2277/052181196</pub-id>
        </element-citation>
      </ref>
      <ref id="B31">
        <label>31.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Horita</surname><given-names>T.</given-names></name>
            <name><surname>Ouchi</surname><given-names>K.</given-names></name>
            <name><surname>Yamada</surname><given-names>T.</given-names></name>
            <name><surname>Fujisaka</surname><given-names>H.</given-names></name>
          </person-group>
          <article-title>Stochastic Model of Chaotic Phase Synchronization. II</article-title>
          <source>Progress of Theoretical Physics</source>
          <year>2008</year>
          <volume>119</volume>
          <issue>2</issue>
          <fpage>223</fpage>
          <lpage>235</lpage>
          <pub-id pub-id-type="doi">10.1143/PTP.119.223</pub-id>
        </element-citation>
      </ref>
      <ref id="B32">
        <label>32.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Fujiwara</surname><given-names>N.</given-names></name>
            <name><surname>Kurths</surname><given-names>J.</given-names></name>
          </person-group>
          <article-title>Spectral Universality of Phase Synchronization in Non-Identical Oscillator Networks</article-title>
          <source>The European Physical Journal B</source>
          <year>2009</year>
          <volume>69</volume>
          <issue>1</issue>
          <fpage>45</fpage>
          <lpage>49</lpage>
          <pub-id pub-id-type="doi">10.1140/epjb/e2009-00078-6</pub-id>
        </element-citation>
      </ref>
      <ref id="B33">
        <label>33.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Pazó</surname><given-names>D.</given-names></name>
            <name><surname>Mariño</surname><given-names>I.P.</given-names></name>
            <name><surname>Pérez-Villar</surname><given-names>V.</given-names></name>
            <name><surname>Pérez-Muñuzuri</surname><given-names>V.</given-names></name>
          </person-group>
          <article-title>Transition to Chaotic Phase Synchronization through Random Phase Jumps</article-title>
          <source>International Journal Bifurcation and Chaos</source>
          <year>2000</year>
          <volume>10</volume>
          <issue>11</issue>
          <fpage>2533</fpage>
          <lpage>2539</lpage>
          <pub-id pub-id-type="doi">10.1142/S0218127400001699</pub-id>
        </element-citation>
      </ref>
      <ref id="B34">
        <label>34.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Vadivasova</surname><given-names>T.E.</given-names></name>
            <name><surname>Strelkova</surname><given-names>G.I.</given-names></name>
            <name><surname>Anishchenko</surname><given-names>V.S.</given-names></name>
          </person-group>
          <article-title>Phase-Frequency Synchronization in a Chain of Periodic Oscillators in the Presence of Noise and Harmonic Forcings</article-title>
          <source>Physical Review E</source>
          <year>2001</year>
          <volume>63</volume>
          <issue>3</issue>
          <fpage>036225</fpage>
          <pub-id pub-id-type="doi">10.1103/PhysRevE.63.036225</pub-id>
        </element-citation>
      </ref>
      <ref id="B35">
        <label>35.</label>
        <element-citation publication-type="book">
          <person-group person-group-type="editor">
            <name><surname>Kovacic</surname><given-names>I.</given-names></name>
            <name><surname>Brennan</surname><given-names>M.J.</given-names></name>
          </person-group>
          <source>The Duffing Equation: Nonlinear Oscillators and Their Behaviour</source>
          <publisher-loc>Brennan, Hoboken</publisher-loc>
          <publisher-name>John Wiley &amp; Sons</publisher-name>
          <year>2011</year>
          <size units="pages">369</size>
          <pub-id pub-id-type="doi">10.1002/9780470977859</pub-id>
        </element-citation>
      </ref>
      <ref id="B36">
        <label>36.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Ruby</surname><given-names>L.</given-names></name>
          </person-group>
          <article-title>Applications of the Mathieu Equation</article-title>
          <source>American Journal of Physics</source>
          <year>1996</year>
          <volume>64</volume>
          <issue>1</issue>
          <fpage>39</fpage>
          <lpage>44</lpage>
          <pub-id pub-id-type="doi">10.1119/1.18290</pub-id>
        </element-citation>
      </ref>
      <ref id="B37">
        <label>37.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Zaks</surname><given-names>M.A.</given-names></name>
            <name><surname>Park</surname><given-names>E.-H.</given-names></name>
            <name><surname>Kurths</surname><given-names>J.</given-names></name>
          </person-group>
          <article-title>On Phase Synchronization by Periodic Force in Chaotic Oscillators with Saddle Equilibria</article-title>
          <source>International Journal Bifurcation and Chaos</source>
          <year>2000</year>
          <volume>10</volume>
          <issue>11</issue>
          <fpage>2649</fpage>
          <lpage>2667</lpage>
          <pub-id pub-id-type="doi">10.1142/S0218127400001626</pub-id>
        </element-citation>
      </ref>
    </ref-list>
  </back>
</article>