Controlling Hamiltonian chaos via Gaussian curvature

被引：19

作者：

Oloumi, A

Teychenné, D

机构：

[1] Stanford Univ, Med Ctr, Natl Biocomputat Ctr, Palo Alto, CA 94304 USA

[2] Helsinki Univ Technol, Dept Engn Phys & Math, FIN-02150 Helsinki, Finland

来源：

PHYSICAL REVIEW E | 1999年 / 60卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.60.R6279

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 method allowing one to partly stabilize some chaotic Hamiltonians which have two degrees of freedom. The purpose of the method is to avoid the regions of V(q(1),q(2)) where its Gaussian curvature becomes negative. We show the stabilization of the Henon-Heiles system, over a wide area, for the critical energy E=1/6. Total energy of the system varies only by a few percent. [S1063-651X(99)50512-6].

引用

页码：R6279 / R6282

页数：4

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