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Stabilite et probabilité dans les systèmes d'équations différentielles non linéaires: cas de cycle limite ou de solution périodique dépendant du temps: équation de Fokker-Planck du premier ordre

M. Robert Faure — 1973

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

In the next study, the Author examines the problem of probability associated with a mehanical system Σ ( x , y ) whose definition is two differential equations of the first order, independent of time. We study the influence of the stability of the essential elements of the trajectories of Σ : (limit-cycles, singular points) on the nature of Fokker-Planck’s solutions of equation, associated with Σ ( x , y ) . It is proved that the density of probabilities is neither definite nor integrable to the singular stable points,...

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