Synchronization for the integer-order and fractional-order chaotic maps based on parameter estimation with JAYA-IPSO algorithm

To enrich the processing means of secure communication, a novel synchronization control method is proposed based on parameter estimation technology. Unlike the traditional synchronization method, it does not need the control law and is only implemented by the parameter estimation. To realize the synchronization between two chaotic maps, a hybrid algorithm combining the JAYA algorithm with an improved particle swarm optimization (IPSO) algorithm is proposed for parameter estimation. Because there is no mathematical reasoning process, the novel method's realization is simple, and it can theoretically be utilized for synchronization of various chaotic maps. In addition, the synchronization with unknown master system structure is also studied. Numerical simulations are carried out in two classical chaotic maps and their fractional-order form. Detailed experimental results demonstrate the effectiveness of the novel synchronization control method.