Stochastic bifurcation in FitzHugh-Nagumo ensembles subjected to additive and/or multiplicative noises Export

@article{citeulike:2437178, 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. 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 (DSs).}, author = {Hasegawa, Hideo}, citeulike-article-id = {2437178}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.physd.2007.08.009}, citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/B6TVK-4PJCY6N-1/2/994f73db6ff65339d26bb8574e1a9f15}, doi = {10.1016/j.physd.2007.08.009}, journal = {Physica D: Nonlinear Phenomena}, keywords = {additive\_noise, bifurcation, fitzhugh, fokker\_planck\_equation, linear\_stability\_analysis, nagumo, stochastic\_equations, synchronization}, month = {February}, number = {2}, pages = {137--155}, posted-at = {2009-11-04 09:43:11}, priority = {2}, title = {Stochastic bifurcation in FitzHugh-Nagumo ensembles subjected to additive and/or multiplicative noises}, url = {http://dx.doi.org/10.1016/j.physd.2007.08.009}, volume = {237}, year = {2008} }

TY - JOUR ID - citeulike:2437178 L3 - citeulike-article-id:2437178 N2 - 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 (DSs). IS - 2 JF - Physica D: Nonlinear Phenomena EP - 155 TI - Stochastic bifurcation in FitzHugh-Nagumo ensembles subjected to additive and/or multiplicative noises VL - 237 SP - 137 KW - additive_noise KW - bifurcation KW - fitzhugh KW - fokker_planck_equation KW - linear_stability_analysis KW - nagumo KW - stochastic_equations KW - synchronization AU - Hasegawa, Hideo PY - 2008/02// UR - http://dx.doi.org/10.1016/j.physd.2007.08.009 ER -