A new three-dimensional chaotic system | Zendy

Jianxiong Zhang | Zendy; Wansheng Tang | Zendy; Yong Xu | Zendy

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A new three-dimensional chaotic system

Author(s) -

Jianxiong Zhang,

Wansheng Tang,

Yong Xu

Publication year - 2008

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.57.6799

Subject(s) - lyapunov exponent , tangent , chaotic , bifurcation diagram , bifurcation , nonlinear system , lyapunov function , computer science , mathematics , mathematical analysis , physics , geometry , quantum mechanics , artificial intelligence

This paper presents a new three-dimensional continuous autonomous chaotic system. The new system has two system parameters and a nonlinear term which takes the form of arc tangent function. The stability of the new system is investigated based on linear matrix inequality (LMI) method. And the complex dynamic properties are studied by theoretical analysisnumerical simulationLyapunov exponents spectrumbifurcation diagrams and Poincaré section diagrams.

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