Chaos in a fractional-order Rössler system

Weiwei Zhang, Shangbo Zhou, Hua Li and Hao Zhu

Chaos, Solitons & Fractals, 2009, vol. 42, issue 3, 1684-1691

Abstract: The dynamic behaviors in the fractional-order Rössler equations were numerically studied. Basic properties of the system have been analyzed by means of Lyapunov exponents and bifurcation diagrams. The parameter and the derivative order ranges used were relatively broad. Regular motions (including period-3 motion) and chaotic motions were examined. The chaotic motion identified was validated by the positive Lyapunov exponent.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:3:p:1684-1691

DOI: 10.1016/j.chaos.2009.03.069

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