THE GENERATION AND ANALYSIS OF A NEW FOUR-DIMENSIONAL HYPERCHAOTIC SYSTEM

Jiezhi Wang (), Zengqiang Chen and Zhuzhi Yuan
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Jiezhi Wang: Department of Automation, Nankai University, Tianjin 300071, P. R. China
Zengqiang Chen: Department of Automation, Nankai University, Tianjin 300071, P. R. China
Zhuzhi Yuan: Department of Automation, Nankai University, Tianjin 300071, P. R. China

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 06, 1013-1024

Abstract: A new four-dimensional continuous autonomous hyperchaotic system is considered. It possesses two parameters, and each equation of it has one quadratic cross product term. Some basic properties of it are studied. The dynamic behaviors of it are analyzed by the Lyapunov exponent (LE) spectrum, bifurcation diagrams, phase portraits, and Poincaré sections. The system has larger hyperchaotic region. When it is hyperchaotic, the two positive LE are both large and they are both larger than 1 if the system parameters are taken appropriately.

Keywords: Chaos generation; hyperchaos; bifurcation analysis; 05.45.Jn; 05.45.Pq (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0129183107011091

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