Return time dynamics as a tool for finding almost invariant sets

被引：2

作者：

Thiere, Bianca ^{[1
]}

Dellnitz, Michael ^{[1
]}

机构：

[1] Univ Paderborn, Fac Comp Sci Elect Engn & Math, D-33095 Paderborn, Germany

来源：

NEW TRENDS IN ASTRODYNAMICS AND APPLICATIONS | 2005年 / 1065卷

关键词：

set oriented methods; return time dynamics; almost invariant sets; dynamical systems; TRANSPORT; COMPUTATION; SYSTEMS; FREEDOM; CHAOS; RATES; ATOM; FLOW;

D O I：

10.1196/annals.1370.027

中图分类号：

V [航空、航天];

学科分类号：

08 ; 0825 ;

摘要：

The primary goal of transport theory is to compute the rate at which parts of the phase space of a given dynamical system move from one region to another. In this paper we present a new approach for the identification of those regions in phase space that are relevant for transport computations. More concretely, we construct a decomposition into almost invariant sets-that is, those sets that represent the main sources and sinks for transport phenomena-using return time dynamics. We illustrate this technique by partitioning a certain Poincare section in the planar circular restricted three body problem into various sets.

引用

页码：44 / 54

页数：11