非线性耦合反应扩散系统解的存在性与脉冲同步

Existence of Solutions and Impulsive Synchronization for Nonlinear Coupled Reaction-diffusion Systems

研究了耦合反应扩散系统整体解的存在性,并对其进行了证明。在此基础上,进一步加入脉冲条件,首次提出该系统脉冲同步的稳定性准则,得出脉冲误差系统是全局拟吸引的结论。

In this paper,the existence of the global solutions for nonlinear coupled reaction-diffusion systems is first investigated and then testified. On this basis,with impulse condition added,a criterion for impulsive synchronization of the systems is established for the first time,and the conclusion that the impulsive error system is the global attraction is obtained.