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Abstract
A new fractional-order hyperchaotic system is reported. A synchronization method for the new chaotic systems is established and its mathematical proof is provided. The nonlinear terms in the response system are not dropped.The good agreement between theoretical analysis and numerical simulation shows the efficiency of the method.

Keywords:
fractional-order hyperchaotic system/

chaotic synchronization/

nonlinear terms
Authors and contacts
Zhou Ping,

Cheng Xue-Feng,

Zhang Nian-Ying

1.
References

Cited By

[1]	Wu Xue-Li, Liu Jie, Zhang Jian-Hua, Wang Ying.Synchronizing a class of uncertain and variable time-delay fractional-order hyper-chaotic systems by adaptive sliding robust mode control. Acta Physica Sinica, 2014, 63(16): 160507.doi:10.7498/aps.63.160507
[2]	Ma Tie-Dong, Jiang Wei-Bo, Fu Jie.Impulsive synchronization of fractional order hyperchaotic systems based on comparison system. Acta Physica Sinica, 2012, 61(9): 090503.doi:10.7498/aps.61.090503
[3]	Huang Li-Lian, Xin Fang, Wang Lin-Yu.Circuit implementation and control of a new fractional-order hyperchaotic system. Acta Physica Sinica, 2011, 60(1): 010505.doi:10.7498/aps.60.010505
[4]	Sun Ning, Zhang Hua-Guang, Wang Zhi-Liang.Fractional sliding mode surface controller for projective synchronization of fractional hyperchaotic systems. Acta Physica Sinica, 2011, 60(5): 050511.doi:10.7498/aps.60.050511
[5]	Zhou Ping, Kuang Fei.Synchronization between fractional-order chaotic system and chaotic system of integer orders. Acta Physica Sinica, 2010, 59(10): 6851-6858.doi:10.7498/aps.59.6851
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[7]	Fu Shi-Hui, Pei Li-Jun.Chaotic synchronization of Chua’s circuits with nonlinear control. Acta Physica Sinica, 2010, 59(9): 5985-5989.doi:10.7498/aps.59.5985
[8]	Cai Na, Jing Yuan-Wei, Zhang Si-Ying.Adaptive synchronization and anti-synchronization of two different chaotic systems. Acta Physica Sinica, 2009, 58(2): 802-813.doi:10.7498/aps.58.802
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[10]	Zhang Ruo-Xun, Yang Shi-Ping.Designing synchronization schemes for a fractional-order hyperchaotic system. Acta Physica Sinica, 2008, 57(11): 6837-6843.doi:10.7498/aps.57.6837
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[12]	.A hyperchaotic system and its fractional order circuit simulation. Acta Physica Sinica, 2007, 56(12): 6865-6873.doi:10.7498/aps.56.6865
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[16]	Liu Yang-Zheng, Fei Shu-Min.Synchronization in the Genesio-Tesi and Coullet systems with nonlinear feedback controlling. Acta Physica Sinica, 2005, 54(8): 3486-3490.doi:10.7498/aps.54.3486
[17]	Wang Xing-Yuan, Liu Ming.Sliding mode control for the synchronization of master-slave chaotic systems with sector nonlinear input. Acta Physica Sinica, 2005, 54(6): 2584-2589.doi:10.7498/aps.54.2584
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[19]	Liu Fu-Cai, Wang Juan, Shi Miao, Gao Xiu-Wei.Nonlinear continuous predictive variable structure control and synchronization of chaotic systems. Acta Physica Sinica, 2002, 51(12): 2707-2712.doi:10.7498/aps.51.2707
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Vol. 57, Issue 9 - 2008-05-05

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