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

Xinquan Zhao, Feng Jiang, Zhigang Zhang and Junhao Hu

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/590421

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:590421

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