A hyperchaos system with only one nonlinear term | Zendy

Ping Zhou | Zendy; Li-Jia Wei | Zendy; XueFeng Cheng | Zendy

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A hyperchaos system with only one nonlinear term

Author(s) -

Ping Zhou,

Li-Jia Wei,

XueFeng Cheng

Publication year - 2009

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.58.5201

Subject(s) - term (time) , attractor , nonlinear system , synchronization (alternating current) , lyapunov exponent , orbit (dynamics) , chaos (operating system) , computer science , chaotic , electronic circuit , workbench , control theory (sociology) , mathematics , physics , mathematical analysis , visualization , quantum mechanics , telecommunications , channel (broadcasting) , computer security , control (management) , artificial intelligence , engineering , aerospace engineering

A novel four-dimensiond hyperchaos system with only one nonlinear term is reported. The Lyapunov exponents spectrum, periodic orbit, quasi- periodic orbit, and the chaos and hyperchaos attractor of this system are obtained. A circuit is designed to realize this system by electronic workbench. A synchronization method for the new hyperchaotic systems is established and the mathematical proof of the method is provided. The nonlinear terms in the response system are not dropped. Theoretical analysis and simulation results show that the method is effective.

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