Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-10-02
Physics
Condensed Matter
Statistical Mechanics
23 pages, 13 figures, accepted in Physica D with minor changes
Scientific paper
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).
No associations
LandOfFree
Stochastic bifurcation of FitzHugh-Nagumo ensembles subjected to additive and/or multiplicative noises does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Stochastic bifurcation of FitzHugh-Nagumo ensembles subjected to additive and/or multiplicative noises, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stochastic bifurcation of FitzHugh-Nagumo ensembles subjected to additive and/or multiplicative noises will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-175845