Particle swarm optimization for adaptive syncronization of nonlinear dynamics

We provide a scheme for the synchronization of two chaotic oscillators when a mismatch between the parameter values of the systems to be synchronized is present. We have shown how particle swarm optimization can be used to adapt the parameters in two coupled systems such that the two systems are synchronized, although their behavior is chaotic and they have started with different initial conditions and parameter settings. The controlled system synchronizes its dynamics with the control signal in the periodic as well as chaotic regimes. The method can be seen also as another way of controlling the chaotic behavior of a coupled system. In the case of coupled chaotic systems, under the interaction between them, their chaotic dynamics can be cooperatively self-organized.