Acta mathematica scientia, Series B >
EFFECTIVE DYNAMICS OF A COUPLED MICROSCOPIC-MACROSCOPIC STOCHASTIC SYSTEM
Received date: 2010-09-08
Online published: 2010-11-20
Supported by
This work was partly supported by NSF of China (10901065, 10971225, and 11028102), the NSF Grants 1025422 and 0731201, the Cheung Kong Scholars Program, and an open research grant from the State Key Laboratory for Nonlinear Mechanics at the Chinese Academy of Sciences.
A conceptual model for microscopic-macroscopic slow-fast stochastic systems is considered. A dynamical reduction procedure is presented in order to extract effective dynamics for this kind of systems. Under appropriate assumptions, the effective system is shown to approximate the original system, in the sense of a probabilistic convergence.
REN Jian , FU Hong-Bo , CAO Dao-Min , DUAN Jin-Qiao . EFFECTIVE DYNAMICS OF A COUPLED MICROSCOPIC-MACROSCOPIC STOCHASTIC SYSTEM[J]. Acta mathematica scientia, Series B, 2010 , 30(6) : 2064 -2076 . DOI: 10.1016/S0252-9602(10)60191-9
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