Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2013, Special Issue (2012), Article ID 590421, 14 pages.

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

Xinquan Zhao, Feng Jiang, Zhigang Zhang, and Junhao Hu

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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.

Article information

Source
J. Appl. Math., Volume 2013, Special Issue (2012), Article ID 590421, 14 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394807632

Digital Object Identifier
doi:10.1155/2013/590421

Mathematical Reviews number (MathSciNet)
MR3032251

Zentralblatt MATH identifier
1266.34075

Citation

Zhao, Xinquan; Jiang, Feng; Zhang, Zhigang; Hu, Junhao. A New Series of Three-Dimensional Chaotic Systems with Cross-Product Nonlinearities and Their Switching. J. Appl. Math. 2013, Special Issue (2012), Article ID 590421, 14 pages. doi:10.1155/2013/590421. https://projecteuclid.org/euclid.jam/1394807632


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