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- Title
Dynamical behaviors of non-autonomous fractional FitzHugh-Nagumo system driven by additive noise in unbounded domains.
- Authors
Guo, Chunxiao; Chen, Yiju; Shu, Ji; Yang, Xinguang
- Abstract
The regularity of random attractors is considered for the non-autonomous fractional stochastic FitzHugh-Nagumo system. We prove that the system has a pullback random attractor that is compact in Hs(ℝn) × L2(ℝn) and attracts all tempered random sets of L2(ℝn) × L2(ℝn) in the topology of Hs(ℝn) × L2(ℝn) with s ∈ (0, 1). By the idea of positive and negative truncations, spectral decomposition in bounded domains, and tail estimates, we achieved the desired results.
- Subjects
RANDOM sets; STOCHASTIC systems; ATTRACTORS (Mathematics); NOISE; STOCHASTIC resonance; TOPOLOGY
- Publication
Frontiers of Mathematics in China, 2021, Vol 16, Issue 1, p59
- ISSN
1673-3452
- Publication type
Article
- DOI
10.1007/s11464-021-0896-7