This article is cited in 5 papers

Hyperbolic Sets near Homoclinic Loops to a Saddle for Systems with a First Integral

Dmitry Turaev<sup>ab

a</sup> Lobachevsky State University of Nizhny Novgorod, pr. Gagarina 23, Nizhny Novgorod, 603950 Russia
^b Imperial College, London, SW7 2AZ UK

Abstract: A complete description of dynamics in a neighborhood of a finite bunch of homoclinic loops to a saddle equilibrium state of a Hamiltonian system is given.

Keywords: Hamiltonian system, nonintegrability and chaos, resonance crossing, Arnold diffusion.

MSC: 37J30, 37J40, 37D05, 37C29

Received: 01.10.2014
Accepted: 14.10.2014

Language: English

DOI: 10.1134/S1560354714060069

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