Chaoti Synchronization Of Network Of Chaotic Attracters Using Nonlinear Coupling Function

This letter offers a method to realize the synchronization of non-symmetrically nonlinear-coupled chaotic systems, studies the chaotic synchronization of Chen's chaotic attracters, from numerical simulation we analysis the influence of chaotic synchronization if we chosen different coupling strengths and different initial conditions. We also extend the synchronization method of non-symmetrically nonlinear-coupled systems into the study of large network linked by numerous Chen's attractors'system units by all-to-all coupling and star coupling. We get the equation of errors which ensures the stability of synchronous state, studies the influence of different coupling strengths on synchronization stability and offers the range of coupling strengths which secures the synchronization. By numerical simulation we proved that if we chosen nonlinear functions as coupling functions, it is effective to complete the synchronization of all-to-all-coupling network and large network linked using star sub-network. We can foresee non-symmetrically nonlinear-coupled coupled synchronization method could be wildly used in network synchronization. inally we offer a new drive-response synchronization method, established the equation of errors. We take Chen,R?ssler and Lorenz systems as examples to study the synchronization of different chaotic systems. Then we extend this method into the study of synchronization of high-dimensions and hyperchaotic systems, like hyperchaotic R?ssler systems,hyperchaotic Chen systems and Lorenz-Van der Pol-Duffing(LVPD) systems. By numerical simulation we proved that this method is effective in synchronization of different chaotic systems. Through drawing kinds of graphs we study the influence of different coupling strengths on synchronization stability and offer the range of coupling strengths which secures the synchronization.