Hyperbolic tori in Hamiltonian systems with slowly varying parameter

This paper looks at a Hamiltonian system which depends periodically on a parameter. For each value of the parameter the system is assumed to have a hyperbolic periodic solution. Using the methods in KAM-theory it is proved that if the Hamiltonian is perturbed so that the value of the parameter varie...

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Veröffentlicht in:	Sbornik. Mathematics 2013-01, Vol.204 (5), p.661-682
1. Verfasser:	Medvedev, A. G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Constants fast-slow systems HAMILTONIANS hyperbolic tori KAM-theory Mathematical analysis MATHEMATICAL METHODS AND COMPUTING MATHEMATICAL SOLUTIONS PERIODICITY PHASE SPACE TORI Toruses
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