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Non-linear dynamics of systems coupled with external noise: Some exact results

par Brenig, Léon ;Banai, Nouzar
Référence Physica D: Nonlinear Phenomena, 5, 2-3, page (208-226)
Publication Publié, 1982

Article révisé par les pairs

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Résumé :

A stochastic differential equation corresponding to a Verhulst model of demographic growth modified by a multiplicative noise was solved analytically. This led to the discovery of the critical slowing down effect due to the presence of the multiplicative noise.