Abstract This paper proposes a novel approach for generating a multi-scroll chaotic system. Together with the theoretical design and numerical simulations, three different types of attractor are available, governed by constructing triangular wave, sawtooth wave and hysteresis sequence. The presented new multi-scroll chaotic system is different from the classical multi-scroll chaotic Chua system in dimensionless state equations, nonlinear functions and maximum Lyapunov exponents. In addition, the basic dynamical behaviours, including equilibrium points, eigenvalues, eigenvectors, eigenplanes, bifurcation diagrams and Lyapunov exponents, are further investigated. The success of the design is illustrated by both numerical simulations and circuit experiments.
Received: 09 July 2008
Revised: 08 August 2008
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 60572073 and
60871025) and the Natural Science Foundation of Guangdong Province,
China (Grant Nos 8151009001000060, 5001818 and 8351009001000002).
Cite this article:
Zhang Chao-Xia(张朝霞) and Yu Si-Min (禹思敏) Design and implementation of a novel multi-scroll chaotic system 2009 Chin. Phys. B 18 119
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