Dynamical Analysis of a Fractional Order Multi-Wing Hyper-Chaotic System

Abstract:

The dynamic behaviors of fractional-order systems have attracted increasing attentions recently. In this paper, a fractional-order four-wing hyper-chaotic system which has a rich variety of dynamic behaviors is proposed. We numerically study the dynamic behaviors of this fractional-order system with different conditions. Hyper-chaotic behaviors can be found in this system when the order is lower than 3 and four-wing hyper-chaotic attractors similar to integer order system can be generated. The lowest order for Hyper-chaos to exist in this system is 3.6 and the lowest order for chaos to exist in this system is 2.4.

• Periodical: Applied Mechanics and Materials (Volumes 380-384)
• Pages: 1792-1795
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.380-384.1792
• Online since: August 2013
• Authors: Feng Chen, Long Sheng, Jian Zhang, Xiao Bin Huang
• Keywords: Dynamical Analysis, Fractionalorder, Multi-Wing

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