SMALE HORSESHOES AND CHAOS IN DISCRETIZED
PERTURBED NLS SYSTEMS(Ⅰ)—POINCARÉ MAP

Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (11): 1391-1401 .

• 论文 • 下一篇

SMALE HORSESHOES AND CHAOS IN DISCRETIZED PERTURBED NLS SYSTEMS(Ⅰ)—POINCARÉ MAP

高平, 郭柏灵

收稿日期:2004-08-08 修回日期:2005-08-03 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(Ⅰ)—POINCARÉ MAP

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:2005-08-03 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, Smale horseshoes, Conley-Moser condition, Poincaré map

中图分类号:

O175
35Q

高平;郭柏灵. SMALE HORSESHOES AND CHAOS IN DISCRETIZED PERTURBED NLS SYSTEMS(Ⅰ)—POINCARÉ MAP[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(11): 1391-1401 .

GAO Ping;GUO Bo-ling. SMALE HORSESHOES AND CHAOS IN DISCRETIZED
PERTURBED NLS SYSTEMS(Ⅰ)—POINCARÉ MAP[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(11): 1391-1401 .

[1]	张燕林平司新辉. Perturbation solutions for asymmetric laminar flow in porous channel with expanding and contracting walls[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(2): 203-220.
[2]	王海仁谢捷敏谢旋胡元太王骥. Nonlinear characteristics of circular-cylinder piezoelectric power harvester near resonance based on flow-induced flexural vibration mode[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(2): 229-236.
[3]	姚静荪;欧阳成;陈丽华;莫嘉琪. Approximate solving method of shock for nonlinear disturbed coupled Schrödinger system[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(12): 1583-1594.
[4]	张乔夫;崔俊芝. Existence theory for Rosseland equation and its homogenized equation[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(12): 1595-1612.
[5]	司新辉;郑连存;张欣欣;司新毅. Flow of micropolar fluid between two orthogonally moving porous disks[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(8): 963-974.
[6]	游淑军;郭柏灵;宁效琦. Equations of Langmuir turbulence and Zakharov equations: smoothness and approximation[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(8): 1079-1092.
[7]	郭艳凤;郭柏灵;李栋龙. Asymptotic behaviors of solutions for dissipative quantum Zakharov equations[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(4): 511-524.
[8]	M.B.A.Mansour. Existence of traveling wave solutions for a nonlinear dissipative-dispersive equation[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(4): 513-516.
[9]	纪玉德郭彦平禹长龙. Positive solutions to (n-1,1) m-point boundary value problems with dependence on the first order derivative[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(4): 527-536.
[10]	王方磊;安玉坤. 非线性电报方程组的3个双周期正解问题[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(1): 81-88 .
[11]	李方方;刘静;Kai YUE. 生物组织在冻结过程中的三维相变传热问题精确解[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(1): 63-72 .
[12]	张鸿庆;丁琦. 一类非线性偏微分方程组的解析解[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(11): 1399-1410 .
[13]	张雪娟;王冠香;刘华. 有噪及无噪的时滞细胞神经网络稳定性分析[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(11): 1427-1438 .
[14]	贺英;韩波. 流体饱和多孔隙介质波动方程小波有限差分法[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(11): 1495-1504 .
[15]	沈守枫;张隽. (2+1)维非线性Schrödinger型方程的同宿轨道[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(10): 1383-1389 .

SMALE HORSESHOES AND CHAOS IN DISCRETIZED PERTURBED NLS SYSTEMS(Ⅰ)—POINCARÉ MAP

SMALE HORSESHOES AND CHAOS IN DISCRETIZED
PERTURBED NLS SYSTEMS(Ⅰ)—POINCARÉ MAP

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价