Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 8, Pages 42–50 (Mi ivm7117)  
Specific features of families of invariant manifolds of conservative systems

V. D. Irtegov

Department of Differential Inclusions and Stability of Motion, Institute of Systems Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences, Irkutsk, Russia
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Abstract: In this paper we demonstrate the method of the enveloping first integral via an example of a completely integrable system of differential equations. This method allows a researcher to find and investigate singular invariant manifolds for a given family of invariant manifolds of steady motions represented by an initial system of equations. We describe specific properties of branching of the obtained families of singular invariant manifolds.
Keywords: conservative systems, invariant manifolds, bifurcations.
Received: 10.12.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 8, Pages 34–40
DOI: https://doi.org/10.3103/S1066369X10080050
Bibliographic databases:
Document Type: Article
UDC: 531.36
Language: Russian
Citation: V. D. Irtegov, “Specific features of families of invariant manifolds of conservative systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 8, 42–50; Russian Math. (Iz. VUZ), 54:8 (2010), 34–40
Citation in format AMSBIB
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\by V.~D.~Irtegov
\paper Specific features of families of invariant manifolds of conservative systems
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 8
\pages 42--50
\mathnet{http://mi.mathnet.ru/ivm7117}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2752577}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 8
\pages 34--40
\crossref{https://doi.org/10.3103/S1066369X10080050}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649622977}
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