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The Generation And Analysis Of A New Four-Dimensional Hyperchaotic System

Author

Listed:
  • 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)

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.

Suggested Citation

  • Jiezhi Wang & Zengqiang Chen & Zhuzhi Yuan, 2007. "The Generation And Analysis Of A New Four-Dimensional Hyperchaotic System," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(06), pages 1013-1024.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:06:n:s0129183107011091
    DOI: 10.1142/S0129183107011091
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