Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1993, Number 2, Pages 66–70 (Mi vmumm2355)  

This article is cited in 15 scientific papers (total in 15 papers)

Mechanics

Application of the methods of Poincaré topographical systems and comparison systems in some concrete systems of differential equations

M. V. Shamolin


Full text: PDF file (686 kB)

Bibliographic databases:
UDC: 517.925.42+531.552
Received: 20.06.1991

Citation: M. V. Shamolin, “Application of the methods of Poincaré topographical systems and comparison systems in some concrete systems of differential equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1993, no. 2, 66–70

Citation in format AMSBIB
\Bibitem{Sha93}
\by M.~V.~Shamolin
\paper Application of the methods of Poincar\'e topographical systems and comparison systems in some concrete systems of differential equations
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1993
\issue 2
\pages 66--70
\mathnet{http://mi.mathnet.ru/vmumm2355}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1223987}
\zmath{https://zbmath.org/?q=an:0791.34029}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. M. V. Shamolin, “Spatial topographical systems of Poincaré and comparison systems”, Russian Math. Surveys, 52:3 (1997), 621–622  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. M. V. Shamolin, “Robustness of dissipative systems and relative robustness and non-robustness of systems with variable dissipation”, Russian Math. Surveys, 54:5 (1999), 1042–1043  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. M. V. Shamolin, “Dynamical systems with variable dissipation: Approaches, methods, and applications”, J. Math. Sci., 162:6 (2009), 741–908  mathnet  crossref  mathscinet  zmath  elib  elib
    4. V. V. Trofimov, M. V. Shamolin, “Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems”, J. Math. Sci., 180:4 (2012), 365–530  mathnet  crossref  mathscinet
    5. M. V. Shamolin, “Dvizhenie tverdogo tela v soprotivlyayuscheisya srede”, Matem. modelirovanie, 23:12 (2011), 79–104  mathnet  mathscinet
    6. M. V. Shamolin, “Zadacha o dvizhenii tela v soprotivlyayuscheisya srede s uchetom zavisimosti momenta sily soprotivleniya ot uglovoi skorosti”, Matem. modelirovanie, 24:10 (2012), 109–132  mathnet  mathscinet
    7. M. V. Shamolin, “Some classes of integrable problems in spatial dynamics of a rigid body in a nonconservative force field”, J. Math. Sci. (N. Y.), 210:3 (2015), 292–330  mathnet  crossref
    8. M. V. Shamolin, “Rigid body motion in a resisting medium modelling and analogues with vortex streets”, Math. Models Comput. Simul., 7:4 (2015), 389–400  mathnet  crossref  elib
    9. M. V. Shamolin, “Integrable variable dissipation systems on the tangent bundle of a multi-dimensional sphere and some applications”, J. Math. Sci., 230:2 (2018), 185–353  mathnet  crossref  elib
    10. M. V. Shamolin, “On the problem of free deceleration of a rigid body with the cone front part in a resisting medium”, Math. Models Comput. Simul., 9:2 (2017), 232–247  mathnet  crossref  zmath  elib
    11. M. V. Shamolin, “Sistemy s dissipatsiei: otnositelnaya grubost, negrubost razlichnykh stepenei i integriruemost”, Geometriya i mekhanika, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 174, VINITI RAN, M., 2020, 70–82  mathnet  crossref  mathscinet
    12. M. V. Shamolin, “Dvizhenie tverdogo tela s perednim konusom v soprotivlyayuscheisya srede: kachestvennyi analiz i integriruemost”, Geometriya i mekhanika, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 174, VINITI RAN, M., 2020, 83–108  mathnet  crossref  mathscinet
    13. M. V. Shamolin, “Semeistva portretov nekotorykh mayatnikovykh sistem v dinamike”, Sib. zhurn. industr. matem., 23:4 (2020), 144–156  mathnet  crossref
    14. M. V. Shamolin, “Topograficheskie sistemy Puankare i sistemy sravneniya malykh i vysokikh poryadkov”, Geometriya i mekhanika, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 187, VINITI RAN, M., 2020, 50–67  mathnet  crossref
    15. M. V. Shamolin, “Predelnye mnozhestva differentsialnykh uravnenii okolo singulyarnykh osobykh tochek”, Geometriya i mekhanika, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 187, VINITI RAN, M., 2020, 119–128  mathnet  crossref
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