Fractional controllable multi-scroll V-shape attractor with parameters effect

Abstract

This paper is an extension of V-shape multi-scroll butterfly attractor in the fractional-order domain. The system complexity is increased by the new dynamics introduced by the fractional operator which make it more suitable for random signal generator. The effect of system parameters on controlling the attractor shape is investigated and compared with the integer order attractor. Maximum Lyapunov exponent is calculated for both integer and fractional orders attractors to prove the complexity of fractional chaotic system using time series. © 2017 IEEE.

Authors

Soliman N.S., Said L.A., Azar A.T., Madian A.H., Ounnas A., Radwan A.G.

Keywords

chaos; fractional calculus; fractional V-shape; maximum Lyapunov exponent; V-shape

Document Type

Confrence Paper

Source

2017 6th International Conference on Modern Circuits and Systems Technologies, MOCAST 2017, Art. No. 7937684, Doi: 10.1109/MOCAST.2017.7937684

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