GENERALIZED LYAPUNOV EXPONENTS INDICATORS IN HAMILTONIAN DYNAMICS: AN APPLICATION TO A DOUBLE STAR SYSTEM

被引：15

作者：

Lohinger, E. ^{[1
]}

Froeschle, C. ^{[2
]}

Dvorak, R. ^{[1
]}

机构：

[1] Univ Vienna, Inst Astron, A-1180 Vienna, Austria

[2] Observ Cote Azur, F-06304 Nice 4, France

来源：

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

关键词：

Double star systems; Lyapunov exponents; chaotic motion;

D O I：

10.1007/BF00699742

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The Lyapunov characteristic numbers (LCNs) which are defined as the mean value of the distribution of the local variations of the tangent vectors to the flow (=1n alpha(i)(kappa)) (see Froeschle, 1984) have been : found to be sensitive indicators of stochasticity. So we computed the distribution of these local variations and determined the moments of higher order for the integrable and stochastic regions in a binary star system with mu = 0.5.

引用

页码：315 / 322

页数：8

共 12 条

[1]

Benettin G., 1980, MECCANICA, V15, P9, DOI 10.1007/BF02128236

[2] NUMERICAL TREATMENT OF ORDINARY DIFFERENTIAL EQUATIONS BY EXTRAPOLATION METHODS [J].