Proof of Lyapunov exponent pairing for systems at constant kinetic energy

被引：88

作者：

Dettmann, CP

Morriss, GP

机构：

[1] School of Physics, University of New South Wales, Sydney

来源：

PHYSICAL REVIEW E | 1996年 / 53卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.53.R5545

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We present a proof that a system consisting of any finite number of particles that move under the action of a scalar potential at constant kinetic energy exhibits conjugate pairing of Lyapunov exponents; that is, the Lyapunov exponents come in pairs, which sum to the same constant. This result generalizes previous results, because it is independent of the size of the system.

引用

页码：R5545 / R5548

页数：4

共 16 条

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