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Russian Mathematical Surveys, 1983, Volume 38, Issue 1, Pages 1–76
DOI: https://doi.org/10.1070/RM1983v038n01ABEH003330
(Mi rm2823)
 

This article is cited in 243 scientific papers (total in 243 papers)

Integrability and non-integrability in Hamiltonian mechanics

V. V. Kozlov
References:
Received: 25.05.1982
Bibliographic databases:
Document Type: Article
UDC: 517.911
Language: English
Original paper language: Russian
Citation: V. V. Kozlov, “Integrability and non-integrability in Hamiltonian mechanics”, Russian Math. Surveys, 38:1 (1983), 1–76
Citation in format AMSBIB
\Bibitem{Koz83}
\by V.~V.~Kozlov
\paper Integrability and non-integrability in Hamiltonian mechanics
\jour Russian Math. Surveys
\yr 1983
\vol 38
\issue 1
\pages 1--76
\mathnet{http://mi.mathnet.ru/eng/rm2823}
\crossref{https://doi.org/10.1070/RM1983v038n01ABEH003330}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=693718}
\zmath{https://zbmath.org/?q=an:0525.70023}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1983RuMaS..38Q...1K}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983SD26300001}
Linking options:
  • https://www.mathnet.ru/eng/rm2823
  • https://doi.org/10.1070/RM1983v038n01ABEH003330
  • https://www.mathnet.ru/eng/rm/v38/i1/p3
  • This publication is cited in the following 243 articles:
    1. Jiaojiao Sun, Zhiqiang Luo, Bo Yan, “Stochastic response of subsystems of interest in MDOF quasi-integrable Hamiltonian systems based on neural networks”, Applied Mathematical Modelling, 137 (2025), 115682  crossref
    2. Amit Anand, Robert B. Mann, Shohini Ghose, “Non-linearity and chaos in the kicked top”, Physica D: Nonlinear Phenomena, 471 (2025), 134455  crossref
    3. Kazuyuki Yagasaki, IUTAM Bookseries, 43, Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Design of Mechanical Systems Across Different Length/Time Scales, 2025, 21  crossref
    4. M. V. Shamolin, “Invarianty odnorodnykh dinamicheskikh sistem proizvolnogo nechetnogo poryadka s dissipatsiei. III. Sistemy sedmogo poryadka”, Materialy 6 Mezhdunarodnoi konferentsii «Dinamicheskie sistemy i kompyuternye nauki: teoriya i prilozheniya» (DYSC 2024). Irkutsk, 16–20 sentyabrya 2024 g. Chast 1, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 238, VINITI, M., 2025, 69–100  mathnet  crossref
    5. M. V. Shamolin, “Invarianty odnorodnykh dinamicheskikh sistem proizvolnogo nechetnogo poryadka s dissipatsiei. IV. Sistemy devyatogo poryadka”, Materialy 6 Mezhdunarodnoi konferentsii «Dinamicheskie sistemy i kompyuternye nauki: teoriya i prilozheniya» (DYSC 2024). Irkutsk, 16–20 sentyabrya 2024 g. Chast 2, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 239, VINITI, M., 2025, 62–97  mathnet  crossref
    6. M. V. Shamolin, “Invarianty odnorodnykh dinamicheskikh sistem proizvolnogo nechetnogo poryadka s dissipatsiei. V. Obschii sluchai”, Materialy 6 Mezhdunarodnoi konferentsii «Dinamicheskie sistemy i kompyuternye nauki: teoriya i prilozheniya» (DYSC 2024). Irkutsk, 16–20 sentyabrya 2024 g. Chast 3, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 240, VINITI, M., 2025, 49–89  mathnet  crossref
    7. Vivina L Barutello, Anna Maria Cherubini, Irene De Blasi, “Exploration of billiards with Keplerian potential”, Nonlinearity, 38:5 (2025), 055004  crossref
    8. A. V. Tsiganov, “On rotation invariant integrable systems”, Izv. Math., 88:2 (2024), 389–409  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    9. Prabhakar Bandaru, Non-Reciprocal Materials and Systems, 2024, 61  crossref
    10. KAZUYUKI YAGASAKI, “Non-integrability of the restricted three-body problem”, Ergod. Th. Dynam. Sys., 2024, 1  crossref
    11. Jonathan Jaquette, “Quasiperiodicity and Blowup in Integrable Subsystems of Nonconservative Nonlinear Schrödinger Equations”, J Dyn Diff Equat, 36:1 (2024), 1  crossref
    12. Shoya Motonaga, Kazuyuki Yagasaki, “Nonintegrability of forced nonlinear oscillators”, Japan J. Indust. Appl. Math., 41:1 (2024), 151  crossref
    13. M. V. Shamolin, “Invariants of Seventh-Order Homogeneous Dynamical Systems with Dissipation”, Dokl. Math., 109:2 (2024), 152  crossref
    14. M. V. Shamolin, “New Cases of Integrable Ninth-Order Conservative and Dissipative Dynamical Systems”, Dokl. Math., 2024  crossref
    15. Sergio Cecotti, UNITEXT for Physics, Analytical Mechanics, 2024, 141  crossref
    16. M. E. Guerrero-Sánchez, J. R. Montoya-Morales, G. Valencia-Palomo, O. Hernández-González, “Robust IDA-PBC for non-separable PCH systems under time-varying external disturbances”, Nonlinear Dyn, 2024  crossref
    17. Kazuyuki Yagasaki, “Semiclassical perturbations of single-degree-of-freedom Hamiltonian systems II: Nonintegrability”, Journal of Mathematical Physics, 65:10 (2024)  crossref
    18. Valery Kozlov, “On the diffusion mechanism in Hamiltonian systems”, Funct. Anal. Appl., 58:4 (2024), 362–370  mathnet  crossref  crossref
    19. Ivan Bizyaev, “Classification of the trajectories of uncharged particles in the Schwarzschild-Melvin metric”, Phys. Rev. D, 110:10 (2024)  crossref
    20. M. V. Shamolin, “Invarianty odnorodnykh dinamicheskikh sistem proizvolnogo nechetnogo poryadka s dissipatsiei. I. Sistemy tretego poryadka”, Materialy Voronezhskoi mezhdunarodnoi vesennei matematicheskoi shkoly «Sovremennye metody kraevykh zadach. Pontryaginskie chteniya—XXXV», Voronezh, 26-30 aprelya 2024 g. Chast 2, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 236, VINITI RAN, M., 2024, 72–88  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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