演講者：曾睿彬教授

單　位：國立屏東教育大學應用數學系

日　期：2014年3月18日（星期二）　PM 2:30

地　點：國立高雄大學理學院450室

講　題：Synchronization for Coupled Lorenz Equations

摘　要：

This talk presents a novel approach to establish the global synchronization of linearly coupled systems. Under our framework, the coupling configuration of the coupled systems can be quite general. We apply the present approach to study the global synchronization of coupled Lorenz equations. We first establish the dissipative property of coupled Lorenz equations. Based on the the dissipative property, we derive the criterion of global synchronization for the Lorenz equations under general coupling matrices; moreover, the criterion can be verified easily. The synchronization criterion could depend on the scale of the coupled equations. We shall show that certain coupled Lorenz equations can satisfy the synchronization criterion and hence achieves global synchronization as the scale is small; however, the synchrony can be lost as the scale gets larger. For non-diffusively coupled Lorenz equations, we can show that chaotic behavior can emerge; conversely, that chaotic behavior can be suppressed, as the coupled equations are synchronized under our synchronization criterion.