SMALE HORSESHOES AND CHAOS IN DISCRETIZED PERTURBED NLS SYSTEMS(Ⅱ)—SMALE HORSESHOES

Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (11): 1402-1408 .

SMALE HORSESHOES AND CHAOS IN DISCRETIZED PERTURBED NLS SYSTEMS(Ⅱ)—SMALE HORSESHOES

高平, 郭柏灵

收稿日期:2004-08-08 修回日期:2005-08-23 出版日期:2005-11-18 发布日期:2005-11-18
通讯作者: 高平

SMALE HORSESHOES AND CHAOS IN DISCRETIZED PERTURBED NLS SYSTEMS(Ⅱ)—SMALE HORSESHOES

GAO Ping, GUO Bo-ling

1. Department of Applied Mathematics, Guangzhou University, Guangzhou 510405, P.R.China;
2. Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, P.R.China

Received:2004-08-08 Revised:2005-08-23 Online:2005-11-18 Published:2005-11-18
Contact: GAO Ping

摘要/Abstract

Abstract: The existence of Smale horseshoes for a certain discretized perturbed nonlinear Schroedinger(NLS) equations was established by using n-dimensional versions of the Conley-Moser conditions. As a result, the discretized perturbed NLS system is shown to possess an invariant set Λ on which the dynamics is topologically conjugate to a shift on four symbols.

Key words: homoclinic orbit, Poincaré map, Smale horseshoes, Conley-Moser condition

中图分类号:

O175
35Q

高平;郭柏灵. SMALE HORSESHOES AND CHAOS IN DISCRETIZED PERTURBED NLS SYSTEMS(Ⅱ)—SMALE HORSESHOES[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(11): 1402-1408 .

GAO Ping;GUO Bo-ling. SMALE HORSESHOES AND CHAOS IN DISCRETIZED PERTURBED NLS SYSTEMS(Ⅱ)—SMALE HORSESHOES[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(11): 1402-1408 .

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SMALE HORSESHOES AND CHAOS IN DISCRETIZED PERTURBED NLS SYSTEMS(Ⅱ)—SMALE HORSESHOES

SMALE HORSESHOES AND CHAOS IN DISCRETIZED PERTURBED NLS SYSTEMS(Ⅱ)—SMALE HORSESHOES

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