A fractional-order hyperchaotic system and its synchronization

Hongmin Deng; Tao Li; Qionghua Wang; Hongbin Li

doi:10.1016/j.chaos.2008.04.034

A fractional-order hyperchaotic system and its synchronization

Hongmin Deng^*
, Tao Li
, Qionghua Wang
, Hongbin Li

^*Corresponding author for this work

Sichuan University
Sichuan University
Stevens Institute of Technology

Research output: Contribution to journal › Article › peer-review

51 Scopus citations

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.

Original language	English
Pages (from-to)	962-969
Number of pages	8
Journal	Chaos, Solitons and Fractals
Volume	41
Issue number	2
DOIs	https://doi.org/10.1016/j.chaos.2008.04.034
State	Published - 30 Jul 2009
Externally published	Yes

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10.1016/j.chaos.2008.04.034

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title = "A fractional-order hyperchaotic system and its synchronization",

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.",

author = "Hongmin Deng and Tao Li and Qionghua Wang and Hongbin Li",

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AU - Deng, Hongmin

AU - Li, Tao

AU - Wang, Qionghua

AU - Li, Hongbin

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Y1 - 2009/7/30

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/67249140258

U2 - 10.1016/j.chaos.2008.04.034

DO - 10.1016/j.chaos.2008.04.034

M3 - 文章

AN - SCOPUS:67249140258

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SP - 962

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A fractional-order hyperchaotic system and its synchronization

Abstract

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