Design and implementation of a novel multi-scroll chaotic system |
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Authors: | Zhang Chao-Xia and Yu Si-Min |
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Institution: | College of Automation, Guangdong University of Technology,
Guangzhou 510006, China |
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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. |
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Keywords: | multi-scroll chaotic attractors triangular and sawtooth waves hysteresis sequence circuit
implementation |
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