非自治F-N系统在带参数的空间中全局吸引子的存在性

Existence of Global Attractor for Non-Autonomous F-N Systems in Parameter Spaces

文中研究了有界区域上非自治Fitz Hugh-Nagumo系统的长时间动力学行为。通过对方程解在带参数空间中的一致估计,得到解的耗散性与渐近紧性,从而得到带参数的空间中全局吸引子的存在性,有效克服了原系统的奇异性。

In this paper,we study the long-time dynamical behavior of the non-autonomous Fitz Hugh-Nagumo systems on the bounded domains. By the uniform estimates of the solutions of the equation in the parameter spaces,we obtain the dissipativity and asymptotic compactness of solutions,and then get the existence of the global attractors in parameter space,which can overcome the singularity of original systems.