Journal
PHYSICA D-NONLINEAR PHENOMENA
Volume 237, Issue 2, Pages 137-155Publisher
ELSEVIER
DOI: 10.1016/j.physd.2007.08.009
Keywords
FitzHugh-Nagumo model; Stochastic bifurcation; multiplicative noise
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We have studied the dynamical properties of finite N-unit FitzHugh-Nagumo (FN) ensembles subjected to additive and/or multiplicative noises, reformulating the augmented moment method (AMM) with the Fokker-Planck equation (FPE) method [H. Hasegawa, J. Phys. Soc. Japan 75 (2006) 033001]. In the AMM, original 2N-dimensional stochastic equations are transformed to eight-dimensional deterministic ones, and the dynamics is described in terms of averages and fluctuations of local and global variables. The stochastic bifurcation is discussed by a linear stability analysis of the deterministic AMM equations. The bifurcation transition diagram of multiplicative noise is rather different from that of additive noise: the former has the wider oscillating region than the latter. The synchronization in globally-coupled FN ensembles is also investigated. Results of the AMM are in good agreement with those of direct simulations (I)Ss). (c) 2007 Elsevier B.V. All rights reserved.
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