Stationary and dynamical properties of finite N-unit Langevin models subjected to multiplicative noises
نویسنده
چکیده
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. Jpn. 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. PACS No. 05.10.Gg, 05.45.-a, 84.35.+i Electronic address: [email protected]
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Stationary and dynamical properties of finite N-unit Langevin models with additive and multiplicative noises
We have studied stationary and dynamical properties of finite N -unit Langevin model subjected to additive and multiplicative noises, by using the Fokker-Planck equation and the augmented moment method (AMM) which was previously proposed by the author. The probability distribution in the stationary states may have much variety when multiplicative noises and external inputs are taken into accoun...
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