摘要
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 A on which the dynamics is topologically conjugate to a shift on four symbols.
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 A on which the dynamics is topologically conjugate to a shift on four symbols.
基金
ProjectsupportedbytheNationalNaturalScienceFoundationofChina(No.10471046)andtheNaturalScienceFoundationofGuangdongProvinceofChina(No.04300099)
