a Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430073, China; b Department of Statistics, School of Science, Wuhan University of Technology, Wuhan 430063, China
Abstract This paper demonstrates rigorous chaotic dynamics in nonlinear Bloch system by virtue of topological horseshoe and numerical method. It considers a properly chosen cross section and the corresponding Poincaré map, and shows the existence of horseshoe in the Poincaré map. In this way, a rigorous verification of chaos in the nonlinear Bloch system is presented.
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