A fractional-order hyperchaotic system and its synchronization

Hongmin Deng, Tao Li, Qionghua Wang and Hongbin Li

Chaos, Solitons & Fractals, 2009, vol. 41, issue 2, 962-969

Abstract: In this paper a novel fractional-order hyperchaotic system is proposed. The chaotic properties of the system in phase portraits are analyzed by using linear transfer function approximation of the fractional-order integrator block. Furthermore, synchronization between two fractional-order systems is achieved by utilizing a single-variable feedback method. Simulation results show that our scheme can not only make the two systems synchronized, but also let them remain in chaotic states.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:2:p:962-969

DOI: 10.1016/j.chaos.2008.04.034

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