Circuit simulation for synchronization of a fractional-order and integer-order chaotic system

被引：64
|
作者：
Chen, Diyi [1 ,2 ]
Wu, Cong [3 ]
Iu, Herbert H. C. [4 ]
Ma, Xiaoyi [1 ]
机构：
[1] Northwest A&F Univ, Dept Elect Engn, Yangling 712100, Shaanxi, Peoples R China
[2] Arizona State Univ, Sch Elect Comp & Energy Engn, Tempe, AZ 85287 USA
[3] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
[4] Univ Western Australia, Sch Elect Elect & Comp Engn, Perth, WA 6009, Australia
来源：
NONLINEAR DYNAMICS | 2013年 / 73卷 / 03期
关键词：
Chaotic circuit; Synchronization; Fractional; Simplest response system;
D O I：
10.1007/s11071-013-0894-8
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
We design a new three-dimensional double-wing fractional-order chaotic system with three quadratic terms, confirmed by numerical simulation and circuit implementation. We then study the synchronization between the new double-wing fractional-order chaotic system and different Lorenz systems with different structures. In the process of the synchronization, the definition of 'the simplest response system' and the practical method of designing the circuit have been originally proposed. The circuit of 'the simplest response system' (even the simplest incommensurate-order response system), holding different structures with the drive system, of any one integral or fractional drive system now can be designed effectively and sufficiently. Our results are supported by numerical simulation and circuit implementation.
引用
收藏
页码：1671 / 1686
页数：16
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