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

被引：0

作者：

Katsanikas, Matthaios ^{[1
,2
]}

Wiggins, Stephen ^{[2
,3
,4
]}

机构：

[1] Acad Athens, Res Ctr Astron & Appl Math, Soranou Efesiou 4, GR-11527 Athens, Greece

[2] Univ Bristol, Sch Math, Fry Bldg,Woodland Rd, Bristol BS8 1UG, England

[3] Univ Bristol, Sch Math, Fry Bldg,Woodland Rd, Bristol BS8 1UG, England

[4] US Naval Acad, Dept Math, Chauvenet Hall, 572C Holloway Rd, Annapolis, MD 21402 USA

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2024年 / 34卷 / 10期

基金：

英国工程与自然科学研究理事会;

关键词：

Chemical reaction dynamics; phase space; Hamiltonian system; periodic orbit; dividing surface; normally hyperbolic invariant manifold; dynamical astronomy; rotational dynamics; TRANSITION-STATE THEORY; PHASE-SPACE; DYNAMICS; TORI;

D O I：

10.1142/S021812742450130X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：9

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