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A note on the fractional-order Chua’s system

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  • Petráš, Ivo

Abstract

This paper deals with fractional-order Chua’s system. It is based on the well-known concept of the Chua’s oscillator, where mathematical model of the Chua’s system consists the fractional-order derivatives. We present the method to derive such kind of the fractional-order model. The fractional-order Chua’s system with a total order less than three, which exhibits chaos as well as other nonlinear behavior, is presented. Numerical experimental example and real measurement are shown to verify the theoretical results.

Suggested Citation

  • Petráš, Ivo, 2008. "A note on the fractional-order Chua’s system," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 140-147.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:1:p:140-147
    DOI: 10.1016/j.chaos.2006.10.054
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    References listed on IDEAS

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    1. Lu, Jun Guo & Chen, Guanrong, 2006. "A note on the fractional-order Chen system," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 685-688.
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