Hyperbolic sets near homoclinic loops to a saddle for systems with a first integral

Dmitry Turaev

doi:10.1134/S1560354714060069

Hyperbolic sets near homoclinic loops to a saddle for systems with a first integral

Dmitry Turaev

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	681-693
Number of pages	13
Journal	Regular and Chaotic Dynamics
Volume	19
Issue number	6
DOIs	https://doi.org/10.1134/S1560354714060069
State	Published - 5 Dec 2014
Externally published	Yes

Keywords

Arnold diffusion
Hamiltonian system
nonintegrability and chaos
resonance crossing

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.1134/S1560354714060069

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title = "Hyperbolic sets near homoclinic loops to a saddle for systems with a first integral",

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 = "Arnold diffusion, Hamiltonian system, nonintegrability and chaos, resonance crossing",

author = "Dmitry Turaev",

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year = "2014",

month = dec,

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doi = "10.1134/S1560354714060069",

language = "English",

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KW - Arnold diffusion

KW - Hamiltonian system

KW - nonintegrability and chaos

KW - resonance crossing

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Hyperbolic sets near homoclinic loops to a saddle for systems with a first integral

Abstract

Keywords

ASJC Scopus subject areas

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