Pullback Attractors for the Non-autonomous FitzHugh-Nagumo System on Unbounded Domains

Details Pullback Attractors for the Non-autonomous FitzHugh-Nagumo System on Unbounded Domains Pullback Attractors for the Non-autonomous FitzHugh-Nagumo System on Unbounded Domains

2008-05-24

arxiv.org/abs/0805.3746v1

Mathematics

Analysis of PDEs

30 pages

Scientific paper

The existence of a pullback attractor is established for the singularly perturbed FitzHugh-Nagumo system defined on the entire space $R^n$ when external terms are unbounded in a phase space. The pullback asymptotic compactness of the system is proved by using uniform a priori estimates for far-field values of solutions. Although the limiting system has no global attractor, we show that the pullback attractors for the perturbed system with bounded external terms are uniformly bounded, and hence do not blow up as a small parameter approaches zero.

Affiliated with

Also associated with

No associations

Rating

Pullback Attractors for the Non-autonomous FitzHugh-Nagumo System on Unbounded Domains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pullback Attractors for the Non-autonomous FitzHugh-Nagumo System on Unbounded Domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pullback Attractors for the Non-autonomous FitzHugh-Nagumo System on Unbounded Domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-665725