Topological horseshoe in nonlinear Bloch system

doi:10.1088/1674-1056/19/12/120508

中国物理B ›› 2010, Vol. 19 ›› Issue (12): 120508-120508.doi: 10.1088/1674-1056/19/12/120508

Topological horseshoe in nonlinear Bloch system

樊庆菊

Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430073, China;Department of Statistics, School of Science, Wuhan University of Technology, Wuhan 430063, China

收稿日期:2010-03-08 修回日期:2010-05-24 出版日期:2010-12-15 发布日期:2010-12-15
基金资助:
Project supported by the Fundamental Research Funds for the Central Universities (Grant No. 2010-1a-036).

Topological horseshoe in nonlinear Bloch system

Fan Qing-Ju(樊庆菊)^a)b)†

^aDepartment 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

Received:2010-03-08 Revised:2010-05-24 Online:2010-12-15 Published:2010-12-15
Supported by:
Project supported by the Fundamental Research Funds for the Central Universities (Grant No. 2010-1a-036).

摘要/Abstract

摘要： 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 Poincar'e map, and shows the existence of horseshoe in the Poincar'e map. In this way, a rigorous verification of chaos in the nonlinear Bloch system is presented.

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.

Key words: Bloch equation, chaos, topological horseshoe, Poincaré map

中图分类号: (Ordinary differential equations)

02.30.Hq

02.40.Pc (General topology) 02.60.Cb (Numerical simulation; solution of equations) 05.45.Pq (Numerical simulations of chaotic systems)

樊庆菊. Topological horseshoe in nonlinear Bloch system[J]. 中国物理B, 2010, 19(12): 120508-120508.

Fan Qing-Ju(樊庆菊). Topological horseshoe in nonlinear Bloch system[J]. Chin. Phys. B, 2010, 19(12): 120508-120508.

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Topological horseshoe in nonlinear Bloch system

Topological horseshoe in nonlinear Bloch system

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