Multiscale analysis for traveling-pulse solutions to the stochastic FitzHugh–Nagumo equations
Author:
Affiliation:
1. CEREMADE, Université Paris Dauphine, PSL
2. Delft Institute of Applied Mathematics, Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology
3. Department of Mathematics, Technical University of Munich
Publisher
Institute of Mathematical Statistics
Subject
Statistics, Probability and Uncertainty,Statistics and Probability
Reference92 articles.
1. Berglund, N., Gentz, B. and Kuehn, C. (2015). From random Poincaré maps to stochastic mixed-mode-oscillation patterns. J. Dynam. Differential Equations 27 83–136.
2. ANTONOPOULOU, D. C., BATES, P. W., BLÖMKER, D. and KARALI, G. D. (2016). Motion of a droplet for the stochastic mass-conserving Allen–Cahn equation. SIAM J. Math. Anal. 48 670–708.
3. ARIOLI, G. and KOCH, H. (2015). Existence and stability of traveling pulse solutions of the FitzHugh–Nagumo equation. Nonlinear Anal. 113 51–70.
4. BASHKIRTSEVA, I. and RYASHKO, L. (2011). Analysis of excitability for the FitzHugh–Nagumo model via a stochastic sensitivity function technique. Phys. Rev. E 83 061109.
5. BATES, P. W., LU, K. and WANG, B. (2009). Random attractors for stochastic reaction–diffusion equations on unbounded domains. J. Differential Equations 246 845–869.
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