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Phase diagrams of Noise Induced Transitions: Exact Results for a Class Of External Coloured Noise

par Kitahara, Kazuo ;Horstemke, Werner;Lefever, René ;Inaba, Yutaka
Référence Progress of theoretical physics, 64, 4, page (1233-1247)
Publication Publié, 1980

Article révisé par les pairs

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Résumé :

By using the formula for the steady state probability distribution of fluctuations in a non-linear system under the influence of two-level Markovian noise, the existence of phase transitions of such a system with the variation of intensity and correlation time of the noise is shown. Explicit results for the Verhulst model and a model for population genetics are given and compared with the previous results for the white noise case.