Geodesic
Specific features of families of invariant manifolds of conservative systems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2010), pp. 42-50.

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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
Mots-clés : bifurcations. 
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V. D. Irtegov. Specific features of families of invariant manifolds of conservative systems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2010), pp. 42-50. http://geodesic.mathdoc.fr/item/IVM_2010_8_a4/

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