Dynamical behaviours of a 3D hysteresis-based system

Fengling Han, Jinhu Lü, Xinghuo Yu and Guanrong Chen

Chaos, Solitons & Fractals, 2006, vol. 28, issue 1, 182-192

Abstract: This paper further investigates the dynamical behaviours of a hysteresis-based system. The multi-scroll chaotic attractors can be generated from a given three-dimensional (3D) linear system via a hysteresis series controller. The equilibrium points, stability, symmetry, limit cycles, and periodic windows of the general 3D hysteresis-based system are discussed. In particular, the controlled system has different dynamical behaviours for different hysteresis controllers. Numerical simulations show the abundant dynamical behaviours of the hysteresis-based systems.

Date: 2006
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:28:y:2006:i:1:p:182-192

DOI: 10.1016/j.chaos.2005.05.021

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