含时滞的耦合Fitz-Hugh-Nagumo系统的全局吸引子

Global Attractor for the Coupled Fitz-Hugh-Nagumo Systems with Delays

文章讨论了含时滞的耦合Fitz-Hugh-Nagumo(FHN)反应扩散系统的长时间行为。由于时滞项的出现。将造成解的先验估计的困难。为此通过构造一个合适的Lyapunov泛函。给出了时滞的耦合FHN系统的全局吸引子存在的一个充分条件。

This paper was devoted to the investigation of the long time behavior for the coupled Fitz-Hugh-Nagumo reaction diffusion systems with delays. The priori estimates of the solution was difficulty because of the time delays tenn. By constructing a suitable Lyapunov functional, a sufficient condition on the existence of global attractor for the FHN system was given.