Elliptic periodic orbits near a homoclinic tangency in four-dimensional symplectic maps and Hamiltonian systems with three degrees of freedom

S. V. Gonchenko; L. P. Shilnikov; D. V. Turaev

Elliptic periodic orbits near a homoclinic tangency in four-dimensional symplectic maps and Hamiltonian systems with three degrees of freedom

S. V. Gonchenko, L. P. Shilnikov, D. V. Turaev

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

12 Scopus citations

Abstract

We study bifurcations leading to the appearance of elliptic orbits in the case of four-dimensional symplectic diffeomorphisms (and Hamiltonian flows with three degrees of freedom) with a homoclinic tangency to a saddle-focus periodic orbit.

Original language	English
Pages (from-to)	3-26
Number of pages	24
Journal	Regular and Chaotic Dynamics
Volume	3
Issue number	4
State	Published - 1 Jan 1998
Externally published	Yes

ASJC Scopus subject areas

Mathematics (miscellaneous)

Cite this

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title = "Elliptic periodic orbits near a homoclinic tangency in four-dimensional symplectic maps and Hamiltonian systems with three degrees of freedom",

abstract = "We study bifurcations leading to the appearance of elliptic orbits in the case of four-dimensional symplectic diffeomorphisms (and Hamiltonian flows with three degrees of freedom) with a homoclinic tangency to a saddle-focus periodic orbit.",

author = "Gonchenko, {S. V.} and Shilnikov, {L. P.} and Turaev, {D. V.}",

year = "1998",

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language = "English",

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journal = "Regular and Chaotic Dynamics",

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T1 - Elliptic periodic orbits near a homoclinic tangency in four-dimensional symplectic maps and Hamiltonian systems with three degrees of freedom

AU - Gonchenko, S. V.

AU - Shilnikov, L. P.

AU - Turaev, D. V.

PY - 1998/1/1

Y1 - 1998/1/1

N2 - We study bifurcations leading to the appearance of elliptic orbits in the case of four-dimensional symplectic diffeomorphisms (and Hamiltonian flows with three degrees of freedom) with a homoclinic tangency to a saddle-focus periodic orbit.

AB - We study bifurcations leading to the appearance of elliptic orbits in the case of four-dimensional symplectic diffeomorphisms (and Hamiltonian flows with three degrees of freedom) with a homoclinic tangency to a saddle-focus periodic orbit.

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M3 - Article

AN - SCOPUS:54649084134

SN - 1560-3547

VL - 3

SP - 3

EP - 26

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

IS - 4

ER -

Elliptic periodic orbits near a homoclinic tangency in four-dimensional symplectic maps and Hamiltonian systems with three degrees of freedom

Abstract

ASJC Scopus subject areas

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