Parameter identification and synchronization of fractional-order chaotic systems |
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Authors: | Li-Guo Yuan Qi-Gui Yang |
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Institution: | a School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China b Department of Applied Mathematics, South China Agricultural University, Guangzhou 510640, China |
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Abstract: | The knowledge about parameters and order is very important for synchronization of fractional-order chaotic systems. In this article, identification of parameters and order of fractional-order chaotic systems is converted to an optimization problem. Particle swarm optimization algorithm is used to solve this optimization problem. Based on the above parameter identification, synchronization of the fractional-order Lorenz, Chen and a novel system (commensurate or incommensurate order) is derived using active control method. The new fractional-order chaotic system has four-scroll chaotic attractors. The existence and uniqueness of solutions for the new fractional-order system are also investigated theoretically. Simulation results signify the performance of the work. |
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Keywords: | Fractional-order chaotic systems Caputo fractional derivative Particle swarm optimization Chaos synchronization Active control |
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