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Continously Perturbed Equivalent Classes of Asymptotically Stable Kinetic Equations: I. Stochastic Perturbations with Coefficient Dependent on the Macrostate

par Nazarea, Apolinario
Référence Zeitschrift fÉur Naturforschung. A, A journal of physical sciences, 28, 2, page (305-308)
Publication Publié, 1973-02

Article révisé par les pairs

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Résumé :

Equivalent classes of kinetic (rate) equations for which each class is asymptotically stable with respect to a unique steady-state are assumed subject to a multi-dimensional stochastic Pertubation arising as the time derivative of a vector-valued normalized Wiener process. A general condition for stability of the steady-state, with probality one, under such continously acting random perturbations is derived in terms of the kinetic potential. An application of this condition is given in the appendix. © 1973, Walter de Gruyter. All rights reserved.