Home OALib Journal OALib PrePrints Submit Ranking News My Lib FAQ About Us Follow Us+
 All Title Author Keywords Abstract
 Publish in OALib Journal ISSN: 2333-9721 APC: Only $99  Views Downloads  Relative Articles Random Attractor For Stochastic Lattice FitzHugh-Nagumo System Driven By$α$-stable Lévy Noises Effects of multiplicative noises on synchronization in finite$N$-unit stochastic ensembles: Augmented moment approach Regularity of pullback attractors for non-autonomous stochastic FitzHugh-Nagumo systems with additive noises on unbounded domains Dynamics of a FitzHugh-Nagumo system subjected to autocorrelated noise Steady state characteries of Fitz Hugh-Nagumo neural system subjected to two different kindes of colored noises双色噪声激励下FHN神经元系统的稳态性质 On the Fitzhugh-Nagumo model Numerical Simulation of the FitzHugh-Nagumo Equations An augmented moment method for stochastic ensembles with delayed couplings: II. FitzHugh-Nagumo model Optimal Control of Convective FitzHugh-Nagumo Equation Complex oscillations in the delayed Fitzhugh-Nagumo equation More... Physics 2006 # Stochastic bifurcation of FitzHugh-Nagumo ensembles subjected to additive and/or multiplicative noises  Full-Text Cite this paper Abstract: We have studied the dynamical properties of finite$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. Jpn. {\bf 75}, 033001 (2006)]. 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 {\it 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 (DSs).

Full-Text

comments powered by Disqus

Contact Us

service@oalib.com

QQ:3279437679