期刊名称：Differential Equations and Nonlinear Mechanics
印刷版ISSN：1687-4099
电子版ISSN：1687-4102
出版年度：2017
卷号：2017
DOI：10.1155/2017/1946304
语种：English
出版社：Hindawi Publishing Corporation
摘要：We consider two reaction-diffusion equations connected by one-directional coupling function and study the synchronization problem in the case where the coupling function affects the driven system in some specific regions. We derive conditions that ensure that the evolution of the driven system closely tracks the evolution of the driver system at least for a finite time. The framework built to achieve our results is based on the study of an ordinary differential equation in a suitable Hilbert space. As a specific application we consider the Gray-Scott equations and perform numerical simulations that are consistent with our main theoretical results.
