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A New Series of Three-Dimensional Chaotic Systems with Cross-Product Nonlinearities and Their Switching

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  • Xinquan Zhao
  • Feng Jiang
  • Zhigang Zhang
  • Junhao Hu

Abstract

This paper introduces a new series of three-dimensional chaotic systems with cross-product nonlinearities. Based on some conditions, we analyze the globally exponentially or globally conditional exponentially attractive set and positive invariant set of these chaotic systems. Moreover, we give some known examples to show our results, and the exponential estimation is explicitly derived. Finally, we construct some three-dimensional chaotic systems with cross-product nonlinearities and study the switching system between them.

Suggested Citation

  • Xinquan Zhao & Feng Jiang & Zhigang Zhang & Junhao Hu, 2013. "A New Series of Three-Dimensional Chaotic Systems with Cross-Product Nonlinearities and Their Switching," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-14, February.
    • Handle: RePEc:hin:jnljam:590421
    DOI: 10.1155/2013/590421
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    Cited by:

    1. Ren, Lei & Lin, Ming-Hung & Abdulwahab, Abdulkareem & Ma, Jun & Saberi-Nik, Hassan, 2023. "Global dynamical analysis of the integer and fractional 4D hyperchaotic Rabinovich system," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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