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The stability analysis in stochastic Brusselator system with random parameter

马少娟;许勇

  The stability of Brusselator system with random parameter is explored in this paper.Firstly the Brusselator system with random parameter can be reduced into the deterministic equivalent system by orthogonal polynomial approximation.Then deterministic linear stability theory and the mathematics analysis method are applied to discuss the stability in equivalent system.At last the influence of the random parameter on stability in stochastic system is obtained.It is discovered that parameter intervals for asymptotic stability in stochastic Brusselator system is not only related to deterministic parameter,but also to random parameter.The larger the random intensity is,the smaller the parameter interval for asymptotic stability is.……