FREQUENCY ANALYSIS OF A DYNAMICAL SYSTEM

被引：131

作者：

Laskar, Jacques ^{[1
]}

机构：

[1] Equipe Astron & Syst Dynam, Bur Longitudes, F-75014 Paris, France

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1993年 / 56卷 / 1-2期

关键词：

Frequency analysis; chaotic motion; symplectic maps;

D O I：

10.1007/BF00699731

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Frequency analysis is a new method for analyzing the stability of orbits in a conservative dynamical system. It was first devised in order to study the stability of the solar system (Laskar, Icarus, 88, 1990). It is a powerful method for analyzing weakly chaotic motion in hamiltonian systems or symplectic maps. For regular motions, it yields an analytical representation of the solutions. In cases of 2 degrees of freedom system with monotonous torsion, precise numerical criterions for the destruction of KAM tori can be found. For a 4D symplectic map, plotting the frequency map in the frequency plane provides a clear representation of the global dynamics and describes the actual Arnold web of the system.

引用

页码：191 / 196

页数：6

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