Research On Chaos Control And Synchronization Of Brusselators

Chaos control and synchronization in nonlinear dynamics have attracted increaseingly interest recently. This thesis is devoted to the study of chaos control and synchronization of forced Brusselators. The main issues of the thesis are addressed as follows:1. By using the nonlinear feedback control technique, some new sufficient conditions of global synchronization and adaptive synchronization of Brusselators are derived.2. By using the invariance principle of differential equations, some sufficient criterions of adaptive synchronization of two different forced Brusselators are given based on parameters identification.3. By using impulsive control technique of nonlinear dynamical systems, sufficient conditions of impulsive synchronization of forced Brusselators are obtained.It is shown that the approaches developed have further extended the ideas and techniques presented in the literature, and they are also simple to implement. Furthermore, the numerical simulation demonstrates the effectiveness and feasibility of the proposed technique.It is believed that these results have important significations and practical values for this kind of engineering design and applications.