<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">gtcrust</journal-id><journal-title-group><journal-title xml:lang="ru">Геодинамика и тектонофизика</journal-title><trans-title-group xml:lang="en"><trans-title>Geodynamics &amp; Tectonophysics</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2078-502X</issn><publisher><publisher-name>Institute of the Earth's crust of the Russian Academy of Sciences, Siberian Branch</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.5800/GT-2023-14-2-0696</article-id><article-id custom-type="elpub" pub-id-type="custom">gtcrust-1667</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>СОВРЕМЕННАЯ ГЕОДИНАМИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>RECENT GEODYNAMICS</subject></subj-group></article-categories><title-group><article-title>НЕРЕГУЛЯРНОСТИ В СМЕЩЕНИИ ГЕОГРАФИЧЕСКОГО ПОЛЮСА ЗЕМЛИ И ДЖЕРКИ В ГЕОМАГНИТНОМ ПОЛЕ</article-title><trans-title-group xml:lang="en"><trans-title>IRREGULARITIES IN THE DISPLACEMENT OF THE EARTH’S GEOGRAPHIC POLE AND JERKS IN THE GEOMAGNETIC FIELD</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1009-2327</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Курбасова</surname><given-names>Г. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Kurbasova</surname><given-names>G. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>298688, пгт Кацивели, ул. Шулейкина, 1, Республика Крым</p></bio><bio xml:lang="en"><p>1 Shuleykin St, Katsiveli 298688, Republic of Crimea</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3839-3466</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Вольвач</surname><given-names>А. Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Volvach</surname><given-names>A. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>298688, пгт Кацивели, ул. Шулейкина, 1, Республика Крым</p></bio><bio xml:lang="en"><p>1 Shuleykin St, Katsiveli 298688, Republic of Crimea</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Крымская астрофизическая обсерватория РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Crimean Astrophysical Observatory, Russian Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>19</day><month>04</month><year>2023</year></pub-date><volume>14</volume><issue>2</issue><fpage>696</fpage><lpage>696</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Курбасова Г.С., Вольвач А.Е., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Курбасова Г.С., Вольвач А.Е.</copyright-holder><copyright-holder xml:lang="en">Kurbasova G.S., Volvach A.E.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.gt-crust.ru/jour/article/view/1667">https://www.gt-crust.ru/jour/article/view/1667</self-uri><abstract><p>Приведены результаты анализа некоторых нерегулярностей в сериях координат смещения по поверхности Земли географического Северного полюса c целью установления временной связи их появления с некоторыми глобальными джерками в геомагнитном поле. В расчетах использовались среднесуточные данные о движении Северного полюса Международной службы вращения Земли (IERS) с 1962 по 2021 г., а также информация о появлении глобальных джерков в геомагнитном поле на всех магнитных обсерваториях земного шара. Для выявления и анализа нерегулярностей в движении полюса по поверхности Земли использовались методы Фурье и вейвлет-анализа временных рядов, методы определения порога фиксированной формы и минимаксный в процедуре анализа негауссовского шума, методы фазового и псевдофазового пространства, а также стробоскопический метод построения отображения Пуанкаре.</p><p>Анализ локальных спектров Фурье и вейвлет-спектров выявляет нерегулярности в смещении Северного полюса по поверхности Земли на интервалах времени: 1967.04.09 – 1967.11.30, 1974.03.29 – 1974.09.12, 2005.11.03 –2006.03.07 гг., сопоставимые с появлением глобальных джерков в 1969, 1978 гг. и локального джерка в 2005 г. Полагается, что энергетические перестройки, вызвавшие кратковременные отклонения смещения полюса от траектории и возвращение на прежнюю траекторию в точках возврата, связаны с особенностями взаимодействия колебаний в процессе вращательно-поступательного движения Земли в Солнечной системе. Время появления особых точек на графиках смещения полюса по поверхности Земли в 1967 и 1974 гг. опережает время появления глобальных джерков в геомагнитном поле.</p></abstract><trans-abstract xml:lang="en"><p>There are presented the results of analysis of some irregularities in the series of displacement coordinates on the Earth’s surface for the geographic North Pole in order to relate them temporally to some global jerks in the geomagnetic field. The calculations were made using the International Earth Rotation and Reference Systems Service (IERS) data on the average daily motions of the North Pole from 1962 to 2021 and the information on global jerks in the geomagnetic field measured by the magnetic observatories throughout the world. The identification and analysis of the irregularities in the pole displacement along the Earth’s surface were performed by the Fourier Method and wavelet methods for time series analysis, methods of fixed threshold determination and minimax analysis of the non-Gaussian noise, phase and pseudo-phase space methods, and stroboscopic methods of construction of Poincare maps.</p><p>The analysis of local Fourier spectra and wavelet-spectra reveals irregularities in the displacement of the North Pole in the time intervals from 1967.04.09 to 1967.11.30, from 1974.03.29 to 1974.09.12, and from 2005.11.03 to 2006.03.07. It is supposed that energy reconstructions which caused short-term pole deviations from the trajectory and starting to follow its previous trajectory at the return points are related to the specific features of oscillatory interactions in the process of the translational-rotational motion of the Earth’s in the Solar System. The time of marking specific points on graphs of the displacement of the pole along the surface of the Earth in 1967 and 1974 is ahead of global geomagnetic jerk occurrence times.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>Земля</kwd><kwd>полюс</kwd><kwd>фазовая плоскость</kwd><kwd>нерегулярности</kwd><kwd>глобальные рывки</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Earth</kwd><kwd>pole</kwd><kwd>phase plane</kwd><kwd>irregularities</kwd><kwd>global jerks</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Alexandrescu M., Gibert D., Hulot G., Le Mouël J.-L., Saracco G., 1995. Detection of Geomagnetic Jerks Using Wavelet Analysis. Journal of Geophysical Research: Solid Earth 100 (B7), 12557–12572. https://doi.org/10.1029/95JB00314.</mixed-citation><mixed-citation xml:lang="en">Alexandrescu M., Gibert D., Hulot G., Le Mouël J.-L., Saracco G., 1995. Detection of Geomagnetic Jerks Using Wavelet Analysis. Journal of Geophysical Research: Solid Earth 100 (B7), 12557–12572. https://doi.org/10.1029/95JB00314.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Alexandrescu M., Gibert D., Hulot G., Le Mouël J.‐L., Saracco G., 1996. Worldwide Wavelet Analysis of Geomagnetic Jerks. Journal of Geophysical Research: Solid Earth 101 (B10), 21975–21994. https://doi.org/10.1029/96JB01648.</mixed-citation><mixed-citation xml:lang="en">Alexandrescu M., Gibert D., Hulot G., Le Mouël J.‐L., Saracco G., 1996. Worldwide Wavelet Analysis of Geomagnetic Jerks. Journal of Geophysical Research: Solid Earth 101 (B10), 21975–21994. https://doi.org/10.1029/96JB01648.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Alexandrescu M.M., Gibert D., Le Mouel J.-L., Hulot G., Saracco G., 1999. An Estimate of Average Lower Mantle Conductivity by Wavelet Analysis of Geomagnetic Jerks. Journal of Geophysical Research: Solid Earth 104 (B8), 17735–17745. https://doi.org/10.1029/1999JB900135.</mixed-citation><mixed-citation xml:lang="en">Alexandrescu M.M., Gibert D., Le Mouel J.-L., Hulot G., Saracco G., 1999. An Estimate of Average Lower Mantle Conductivity by Wavelet Analysis of Geomagnetic Jerks. Journal of Geophysical Research: Solid Earth 104 (B8), 17735–17745. https://doi.org/10.1029/1999JB900135.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Арнольд В.И. Теория катастроф. Издание третье, дополненное. М.: Наука, 1990. 128 c.</mixed-citation><mixed-citation xml:lang="en">Arnold V.I., 1990. Catastrophe Theory. A Third Expanded Edition. Nauka, Moscow, 128 p. (in Russian)</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Arnol’d V.I., 1975. Critical Points of Smooth Functions and Their Normal Forms. Russian Mathematical Surveys 30 (5), 1–75. http://doi.org/10.1070/RM1975v030n05ABEH001521.</mixed-citation><mixed-citation xml:lang="en">Arnol’d V.I., 1975. Critical Points of Smooth Functions and Their Normal Forms. Russian Mathematical Surveys 30 (5), 1–75. http://doi.org/10.1070/RM1975v030n05ABEH001521.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Берже П., Помо И., Видаль К. Порядок в хаосе. М.: Мир, 1991. 368 с.</mixed-citation><mixed-citation xml:lang="en">Berge P., Pomeau Y., Vidal Ch., 1991. L’ordre Dans Le Chaos. Mir, Moscow, 368 p. (in Russian)</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Courtillot V., Le Mouël J.-L., 1976. On the Long-Period Variations of the Earth’s Magnetic Field from 2 Months to 20 Years. Journal of Geophysical Research 81 (17), 2941–2950. https://doi.org/10.1029/JB081i017p02941.</mixed-citation><mixed-citation xml:lang="en">Courtillot V., Le Mouël J.-L., 1976. On the Long-Period Variations of the Earth’s Magnetic Field from 2 Months to 20 Years. Journal of Geophysical Research 81 (17), 2941–2950. https://doi.org/10.1029/JB081i017p02941.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Courtillot V., Le Mouël J.-L., 1984. Geomagnetic Secular Variation Impulses. Nature 311, 709–716. https://doi.org/10.1038/311709a0.</mixed-citation><mixed-citation xml:lang="en">Courtillot V., Le Mouël J.-L., 1984. Geomagnetic Secular Variation Impulses. Nature 311, 709–716. https://doi.org/10.1038/311709a0.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">De Michelis P., Tozzi R., Meloni A., 2005. Geomagnetic Jerks: Observation and Theoretical Modeling. Memorie della Società Astronomica Italiana 76, 957–960.</mixed-citation><mixed-citation xml:lang="en">De Michelis P., Tozzi R., Meloni A., 2005. Geomagnetic Jerks: Observation and Theoretical Modeling. Memorie della Società Astronomica Italiana 76, 957–960.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Dobretsov N.L., Metelkin D.V., Vasilevskiy A.N., 2021. Typical Characteristics of the Earth’s Magnetic and Gravity Fields Related to Global and Regional Tectonics. Russian Geology and Geophysics 62 (1), 6–24. https://doi.org/10.2113/RGG20204261.</mixed-citation><mixed-citation xml:lang="en">Dobretsov N.L., Metelkin D.V., Vasilevskiy A.N., 2021. Typical Characteristics of the Earth’s Magnetic and Gravity Fields Related to Global and Regional Tectonics. Russian Geology and Geophysics 62 (1), 6–24. https://doi.org/10.2113/RGG20204261.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Donoho D.L., 1995. De-Noising by Soft-Thresholding. IEEE Transactions on Information Theory 41 (3), 613–627. https://doi.org/10.1109/18.382009.</mixed-citation><mixed-citation xml:lang="en">Donoho D.L., 1995. De-Noising by Soft-Thresholding. IEEE Transactions on Information Theory 41 (3), 613–627. https://doi.org/10.1109/18.382009.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Donoho D.L., Johnstone I.M., Kerkyacharian G., Picard D., 1996. Density Estimation by Wavelet Thresholding. Annals of Statistics 24 (2), 508–539.</mixed-citation><mixed-citation xml:lang="en">Donoho D.L., Johnstone I.M., Kerkyacharian G., Picard D., 1996. Density Estimation by Wavelet Thresholding. Annals of Statistics 24 (2), 508–539.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Гохберг М.Б., Колосницын Н.И. Триггерные механизмы землетрясений // Триггерные эффекты в геосистемах: Материалы всероссийского семинара-совещания (22–24 июня 2010 г., Москва). М.: ГЕОС, 2010. С. 52–61.</mixed-citation><mixed-citation xml:lang="en">Gokhberg M.B., Kolosnitsyn N.I., 2010. The Trigger Mechanisms of Earthquakes. In: Trigger Effects in Geosystems. Proceedings of the All-Russian Seminar Conference (June 22–24, 2010, Moscow). GEOS, Moscow, p. 52–61 (in Russian)</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Мун Ф. Хаотические колебания. М.: Мир, 1990. 312 с.</mixed-citation><mixed-citation xml:lang="en">Moon F.C., 1990. Chaotic Vibrations. Mir, Moscow, 312 p. (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Olsen N., Mandea M., 2008. Rapidly Changing Flows in the Earth’s Core. Nature Geoscience 1, 390–394. https://doi.org/10.1038/ngeo203.</mixed-citation><mixed-citation xml:lang="en">Olsen N., Mandea M., 2008. Rapidly Changing Flows in the Earth’s Core. Nature Geoscience 1, 390–394. https://doi.org/10.1038/ngeo203.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Паркинсон У. Введение в геомагнетизм. М.: Мир, 1986. 528 с.].</mixed-citation><mixed-citation xml:lang="en">Parkinson W.D., 1986. Introduction to Geomagnetism. Mir, Moscow, 528 p. (in Russian)</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Pinheiro K.J., Jackson A., Finlay C.C., 2011. Measurements and Uncertainties of the Occurrence Time of the 1969, 1978, 1991, and 1999 Geomagnetic Jerks. Geochemistry Geophysics Geosystems 12 (10), Q10015. https://doi.org/10.1029/2011GC003706.</mixed-citation><mixed-citation xml:lang="en">Pinheiro K.J., Jackson A., Finlay C.C., 2011. Measurements and Uncertainties of the Occurrence Time of the 1969, 1978, 1991, and 1999 Geomagnetic Jerks. Geochemistry Geophysics Geosystems 12 (10), Q10015. https://doi.org/10.1029/2011GC003706.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Torrence C., Compo G.P., 1998. A Practical Guide to Wavelet Analysis. Bulletin of the American Meteorological Society 79 (1), 61–78. https://doi.org/10.1175/1520-0477(1998)079&lt;0061:APGTWA&gt;2.0.CO;2.</mixed-citation><mixed-citation xml:lang="en">Torrence C., Compo G.P., 1998. A Practical Guide to Wavelet Analysis. Bulletin of the American Meteorological Society 79 (1), 61–78. https://doi.org/10.1175/1520-0477(1998)079&lt;0061:APGTWA&gt;2.0.CO;2.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Volvach A.E., Kurbasova G.S., Volvach L.N., 2022. Time Series Analysis of Temperatures and Insolation of the Earth’s Surface at Kara-Dag Using Satellite Observation. Advances in Space Research 69 (12), 4228–4239. https://doi.org/10.1016/j.asr.2022.04.016.</mixed-citation><mixed-citation xml:lang="en">Volvach A.E., Kurbasova G.S., Volvach L.N., 2022. Time Series Analysis of Temperatures and Insolation of the Earth’s Surface at Kara-Dag Using Satellite Observation. Advances in Space Research 69 (12), 4228–4239. https://doi.org/10.1016/j.asr.2022.04.016.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Vondrak J., Ron C., 2014. Geophysical Excitation of Nutation – Comparison of Different Models. Acta Geodynamica et Geomaterialia 11 (3), 1–8. https://doi.org/10.13168/AGG.2014.0007.</mixed-citation><mixed-citation xml:lang="en">Vondrak J., Ron C., 2014. Geophysical Excitation of Nutation – Comparison of Different Models. Acta Geodynamica et Geomaterialia 11 (3), 1–8. https://doi.org/10.13168/AGG.2014.0007.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Vondrak J., Ron C., 2015. Earth Orientation and Its Excitations by Atmosphere, Oceans, and Geomagnetic Jerks. Serbian Astronomical Journal 191, 59–66. https://doi.org/10.2298/SAJ1591059V.</mixed-citation><mixed-citation xml:lang="en">Vondrak J., Ron C., 2015. Earth Orientation and Its Excitations by Atmosphere, Oceans, and Geomagnetic Jerks. Serbian Astronomical Journal 191, 59–66. https://doi.org/10.2298/SAJ1591059V.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
