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Circuit simulation for synchronization of a fractional-order and integer-order chaotic system |
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| Authors: | Diyi Chen Cong Wu Herbert H. C. Iu Xiaoyi Ma |
| Affiliation: | 1. Department of Electrical Engineering, Northwest A&F University, Shaanxi Yangling, 712100, P.R. China 2. School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, AZ, 85287, USA 3. Department of Applied Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada 4. School of Electrical, Electronic and Computer Engineering, University of Western Australia, Perth, WA, 6009, Australia |
| Abstract: | 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. |
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