Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
978277 | Physica A: Statistical Mechanics and its Applications | 2007 | 15 Pages |
Abstract
We have studied the finite N-unit Langevin model subjected to multiplicative noises, by using the augmented moment method (AMM), as a continuation of our previous paper [H. Hasegawa, J. Phys. Soc. Japan 75 (2006) 033001]. Effects of couplings on stationary and dynamical properties of the model have been investigated. The difference and similarity between the results of diffusive and sigmoid couplings are studied in details. Time dependences of average and fluctuations in local and global variables calculated by the AMM are in good agreement with those of direct simulations (DSs). We also discuss stationary distributions of local and global variables with the use of the Fokker-Planck equation (FPE) method and DSs. It is demonstrated that stationary distributions show much variety when multiplicative noise and external inputs are taken into account.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Hideo Hasegawa,