Topological horseshoe in nonlinear Bloch system

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

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.

Keywords: Bloch equation chaos topological horseshoe Poincaré map

Received: 08 March 2010
Revised: 24 May 2010
Accepted manuscript online:

PACS:	02.30.Hq	(Ordinary differential equations)
	02.40.Pc	(General topology)
	02.60.Cb	(Numerical simulation; solution of equations)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund: Project supported by the Fundamental Research Funds for the Central Universities (Grant No. 2010-1a-036).

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Fan Qing-Ju(樊庆菊) Topological horseshoe in nonlinear Bloch system 2010 Chin. Phys. B 19 120508

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