STABILITY EXCHANGES BETWEEN PERIODIC-ORBITS IN A HAMILTONIAN DYNAMIC SYSTEM

被引：13

作者：

ERIKSSON, AB ^{[1
]}

DAHLQVIST, P ^{[1
]}

机构：

[1] ROYAL INST TECHNOL, DEPT MECH, S-10044 STOCKHOLM 70, SWEDEN

来源：

PHYSICAL REVIEW E | 1993年 / 47卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.47.1002

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：

Exchange of stability between periodic orbits of the same winding number is observed in a one-parameter family of quartic potentials. We use numerical simulations to study the exchanges that occur between two values of the parameter for which the system is integrable. The relevance for the survival of Kolmogorov-Arnold-Moser tori is briefly discussed and parallels are drawn to a similar phenomenon earlier observed for area-preserving maps.

引用

页码：1002 / 1006

页数：5

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