Periodic Orbit-Dividing Surfaces in Rotating Hamiltonian Systems with Two Degrees of Freedom-Reference-Cited by-同舟云学术

Periodic Orbit-Dividing Surfaces in Rotating Hamiltonian Systems with Two Degrees of Freedom

Published:2024-07-19 Issue:10 Volume:34 Page:
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Katsanikas Matthaios¹²^ORCID,Wiggins Stephen²³^ORCID

Affiliation:

1. Research Center for Astronomy and Applied Mathematics, Academy of Athens, Soranou Efesiou 4, Athens GR-11527, Greece

2. School of Mathematics, University of Bristol, Fry Building, Woodland Road, Bristol BS8 1UG, UK

3. Department of Mathematics, United States Naval Academy, Chauvenet Hall, 572C Holloway Road, Annapolis, MD 21402-5002, USA

Abstract

In this paper, we extend the notion of periodic orbit-dividing surfaces (PODS) to rotating Hamiltonian systems with two degrees of freedom. First, we present a method that enables us to apply the classical algorithm for the construction of PODS [ Pechukas & McLafferty , 1973 ; Pechukas , 1981 ; Pollak & Pechukas , 1978 ; Pollak , 1985 ] in rotating Hamiltonian systems with two degrees of freedom. Then we study the structure of these surfaces in a rotating quadratic normal-form Hamiltonian system with two degrees of freedom.

Funder

EPSRC

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021812742450130X

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