Chaos in the fractional order periodically forced complex Duffing’s oscillators

Xin Gao and Juebang Yu

Chaos, Solitons & Fractals, 2005, vol. 24, issue 4, 1097-1104

Abstract: The occurrence of fractional-order chaotic dynamics have been intensively studied over the last ten years in a large number of real dynamical systems of physical nature. However, a similar study has not yet been carried out for fractional-order chaotic dynamical systems in the complex domain. In this paper, we numerically study the chaotic behaviors in the fractional-order symmetric and non-symmetric periodically forced complex Duffing’s oscillators. We find that chaotic behaviors exist in the fractional-order periodically forced complex Duffing’s oscillators with orders less than 4. Our results are validated by the existence of positive maximal Lyapunov exponent.

Date: 2005
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Citations: View citations in EconPapers (18)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:24:y:2005:i:4:p:1097-1104

DOI: 10.1016/j.chaos.2004.09.090

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