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

被引：0
|
作者：
Katsanikas, Matthaios [1 ,2 ]
Wiggins, Stephen [2 ,3 ]
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] United States 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 / 11期
基金：
英国工程与自然科学研究理事会;
关键词：
Rotating dynamical system; chemical reaction dynamics; phase space; Hamiltonian system; periodic orbit; dividing surface; normally hyperbolic invariant manifold; dynamical astronomy; TRANSITION-STATE THEORY; PHASE-SPACE; DYNAMICS; TORI;
D O I：
10.1142/S0218127424501438
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 (PODSs) to rotating Hamiltonian systems with three degrees of freedom. First, we present how to apply our first method for the construction of PODSs [Katsanikas & Wiggins, 2021a, 2023a] to rotating Hamiltonian systems with three degrees of freedom. Then, we study the structure of these surfaces in a rotating quadratic normal-form Hamiltonian system with three degrees of freedom.
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页数：12
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