Fast Lyapunov indicators. Application to asteroidal motion

被引：315

作者：

Froeschle, C

Lega, E

Gonczi, R

机构：

[1] Observatoire de Nice, B.P. 4229

[2] CNRS-LATAPSES, 06560 Valbonne

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1997年 / 67卷 / 01期

关键词：

dynamical systems; detection of chaotic motion; Lyapunov exponents;

D O I：

10.1023/A:1008276418601

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We present a very simple and fast method to separate chaotic from regular orbits for non-integrable Hamiltonian systems. We use the standard map and the Henon and Heiles potential as model problems and show that this method appears to be at least as sensitive as the frequency-analysis method. We also study the chaoticity of asteroidal motion.

引用

页码：41 / 62

页数：22

共 29 条

[1]

[Anonymous], CELEST MECH DYN ASTR

[2] KOLMOGOROV ENTROPY AND NUMERICAL EXPERIMENTS [J].

BENETTIN, G ;

GALGANI, L ;

STRELCYN, JM .

PHYSICAL REVIEW A, 1976, 14 (06) :2338-2345

[3]

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

[4]

Benettin G., 1980, MECCANICA, V15, P21, DOI DOI 10.1007/BF02128237

[5]

Benettin G., 1979, INTRINSIC STOCHASTIC

[6]

CELLETTI A, 1995, INT J BIFURCATION CH, V5

[7] NUMBER OF ISOLATING INTEGRALS IN HAMILTONIAN SYSTEMS [J].

CONTOPOULOS, G ;

GALGANI, L ;

GIORGILLI, A .

PHYSICAL REVIEW A, 1978, 18 (03) :1183-1189

[8]

CONTOPOULOS G, 1996, UNPUB CELEST MECH DY

[9]

FRNAKLIN F, 1994, AJ, V107, P1890

[10] On the measure of the structure around the last KAM torus before and after its break-up [J].

Froeschle, C ;

Lega, E .

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1996, 64 (1-2) :21-31

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