We investigate the asymptotic behavior of a class of non-autonomous stochastic FitzHugh–Nagumo systems driven by additive white noise on unbounded thin domains. For this aim, we first show the existence and uniqueness of random attractors for the considered equations and their limit equations. Then...
Results of the AMM are in good agreement with those of direct simulations (DSs).doi:10.1016/j.physd.2007.08.009Hideo HasegawaElsevier B.V.Physica D Nonlinear PhenomenaH. Hasegawa. Stochastic bifurcation in fitzhugh-nagumo ensembles sub- jected to additive and/or multiplicative noises. Physica D:...
Existence and stability of traveling pulse solutions of the FitzHugh-Nagumo equation Nonlinear Anal., 113 (2015), pp. 51-70 Google Scholar [3] A. Arnold, P. Markowich, G. Toscani, A. Unterreiter On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type...
Stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white noise Ap.t.c.EgE.3()1—2(01p1MaMeh一n 1d21,1221)h., DI1.0/1431—397O 017s08? 118-00 ⑥Saga nvri n pigrVrghnhiiesyadSre—el UtnaBeriHedebeg ln ilr2011 Appl ahiMtemaisedtc an ehac dMcnis (nlhEio)Egi ...
M. Thieullen, "Deterministic and stochastic FitzHugh-Nagumo systems," in Stochastic Biomathematical Models, M. Bachar, J. Batzel, and S. Ditlevsen, Eds., vol. 2058 of Lecture Notes in Mathematics, pp. 175-186, Springer, Berlin, Germany, 2013....
Dynamical Behavior of the Almost-Periodic Discrete Fitzhugh-nagumo Systems In this paper, we study the dynamical behavior of nonautonomous, almost-periodic discrete FitzHughu2013Nagumo system defined on infinite lattices. We prove... WANG,BIXIANG - 《International Journal of Bifurcation & Chaos》 被引...
in limit-cycle systems 2 and excitable systems. 3,4 Subsequently such coherence reso- nance or autonomous SR has also been observed in sys- tems with delay 5 and inertia. 6 In the latter cases, SR phenomena can still be understood by the time-scale matching argument since the delay or th...
Barland, S., Piro, O., Giudici, M., Tredicce, J.R., Balle, S.: Experimental evidence of van der pol-Fitzhugh-Nagumo dynamics in semiconductor optical amplifiers. Phys. Rev. E68, 036209 (2003).https://doi.org/10.1103/PhysRevE.68.036209 ...
[51], the statistical complexity and normalized Shannon entropy of the FitzHugh–Nagumo neuron model. Motivated by the relevance of Lévy processes in neural systems explained above, this paper focuses on SISR in a memristive neuron perturbed by a Lévy noise—a setting that has not been ...
In this paper, we consider the asymptotic behavior of solutions for stochastic non-autonomous FitzHugh–Nagumo system with multiplicative white noise. First we prove the existence of random attractor of the random dynamical system generated by the solutions of considered system. Then we present some ...