A four-dimensional chaotic system and its oscillator circuit design | Zendy

Lili Liu | Zendy; C-X Liu | Zendy; Y-B Zhang | Zendy

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A four-dimensional chaotic system and its oscillator circuit design

Author(s) -

Lili Liu,

C-X Liu,

Y-B Zhang

Publication year - 2008

Publication title -

journal of physics conference series

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 85

eISSN - 1742-6596

pISSN - 1742-6588

DOI - 10.1088/1742-6596/96/1/012172

Subject(s) - attractor , lyapunov exponent , chaotic , fractal , synchronization of chaos , dynamical systems theory , statistical physics , crisis , poincaré map , poincaré conjecture , topology (electrical circuits) , computer science , control theory (sociology) , mathematics , physics , mathematical analysis , bifurcation , nonlinear system , quantum mechanics , artificial intelligence , control (management) , combinatorics

This paper reports a novel four-dimensional autonomous chaotic system, which has a canonical and many interesting complex structure. Furthermore, throughout the study of these dynamical behaviors of this chaotic system some basic dynamical properties, such as continuous spectrum, Lyapunov exponents, fractal dimensions, strange attractor and Poincare mapping are investigated briefly. Moreover, an oscillator circuit is designed to simulation the new chaotic system.

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