Graphical evolution of the Arnold web:: From order to chaos

被引：122

作者：

Froeschlé, C ^{[1
]}

Guzzo, M ^{[1
]}

Lega, E ^{[1
]}

机构：

[1] Observ Nice, F-06304 Nice 4, France

来源：

SCIENCE | 2000年 / 289卷 / 5487期

关键词：

D O I：

10.1126/science.289.5487.2108

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We represent graphically the evolution of the set of resonances of a quasi-integrable dynamical system, the so-called Arnold web, whose structure is crucial for the stability properties of the system. The basis of our representation is the use of an original numerical method, whose definition is directly related to the dynamics of orbits, and the careful choice of a model system. We also show the transition from the Nekhoroshev stability regime to the Chirikov diffusive one, which is a generic nontrivial phenomenon occurring in many physical processes, such as slow chaotic transport in the asteroid belt and beam-beam interaction.

引用

页码：2108 / 2110

页数：3

共 21 条

[1]

Arnold V. I., 1978, Mathematical methods of classical mechanics

[2]

Arnold V. I, 1963, Russian Mathematical Surveys, V18, P13, DOI DOI 10.1070/RM1963V018N05ABEH004130

[3] Fast rotations of the rigid body: A study by Hamiltonian perturbation theory .1. [J].