A modified extended particle swarm optimisation algorithm to solve the directing orbits of chaotic systems

In order to solve the problem of the poor local search capability of the extended particle swarm optimisation (EPSO) algorithm, the modify extended particle swarm optimisation algorithm (MEPSO) was proposed, which reduces magnitude of total forces exerting on each particle through decreasing the number of each particle effected by other particles. Meanwhile, the number of the particles removed is analysed theoretically. And it was proved that MEPSO can converge to the global optimum with the probability 1. Compared with the related algorithms, the presented algorithm can effectively balance the global and local search and improve optimisation performances. Finally, MEPSO can better solve the problem of directing orbits of chaotic systems.