Smale horseshoes and chaos in discretized perturbed NLS systems(I)—Poincaré map
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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 ∧ on which the dynamics is topologically conjugate to a shift on four symbols.
Key wordshomoclinic orbit Poincaré map Smale horseshoes Conley-Moser condition
Chinese Library ClassificationO175
2000 Mathematics Subject Classification35Q
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