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| SMALE HORSESHOES AND CHAOS IN DISCRETIZED PERTURBED NLS SYSTEMS(Ⅱ)—SMALE HORSESHOES | |
| 作者单位： | Department of Applied Mathematics，Guangzhou University，Guangzhou 510405，P.R.China，Institute of Applied Physics and Computational Mathematics，P.O. Box 8009，Beijing 100088，P.R.China |
| 摘 要： | 2000MathematicsSubjectClassification:35Q Introduction ContinueRef.[1],inthispart,weapplythegeneralizedConley Moserconditions[2]toshowtheexistenceofSmalehorseshoesinbelowthediscreteNLSsystems(1).Considerthefollowingn particle(any2 |
| 关 键 词： | homoclinic orbit Poincaré map Smale horseshoes Conley-Moser condition |
| 文章编号： | 0253-4827（2005）11-1402-07 |
| 收稿时间： | 2004-08-08 |
Smale horseshoes and chaos in discretized perturbed NLS systems (II)—Smale horseshoes |
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| Ping Gao,Bo-ling Guo. Smale horseshoes and chaos in discretized perturbed NLS systems (II)—Smale horseshoes[J]. Applied Mathematics and Mechanics(English Edition), 2005, 26(11): 1402-1408. DOI: 10.1007/BF03246245 | |
| Authors: | Ping Gao Bo-ling Guo |
| Affiliation: | Department of Applied Mathematics, Guangzhou University, Guangzhou 510405, P.R.China;;Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, P.R.China |
| 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. |
| Keywords: | homoclinic orbit Poincaré map Smale horseshoes Conley-Moser condition |
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