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Hyperchaos evolved from the Liu chaotic system

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Published under licence by IOP Publishing Ltd
, , Citation Wang Fa-Qiang and Liu Chong-Xin 2006 Chinese Phys. 15 963 DOI 10.1088/1009-1963/15/5/016

1009-1963/15/5/963

Abstract

This paper introduces a new hyperchaotic system by adding an additional state into the third-order Liu chaotic system. Some of its basic dynamical properties, such as the hyperchaotic attractor, Lyapunov exponent, fractal dimension and the hyperchaotic attractor evolving into chaotic, periodic, quasi-periodic dynamical behaviours by varying parameter d are studied briefly. Various attractors are illustrated not only by computer simulation but also by conducting an electronic circuit experiment.

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10.1088/1009-1963/15/5/016