Titlebook: Stochastic Nonlinear Systems in Physics, Chemistry, and Biology; Proceedings of the W Ludwig Arnold,René Lefever Conference proceedings 198

比目鱼

Noise Induced Transitions in Biological Systemsnal noise. This situation is particularly evident for biological populations, be it populations of animals or populations of simple cells. The cells of a tissue for example are subjected to the influence of numerous environmental factors: concentration of oxygen and nutrients in the tissue, hormones

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Transition Phenomena in Nonlinear Systemscent articles and a book of mine [1],[2]. I shall first outline what I mean by transition phenomena. As will transpire from the examples, the general feature common to the transition phenomena I treat here are dramatic changes on macroscopic scales.

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Qualitative Theory of Stochastic Non-Linear Systemsility properties. Both the white noise and the real (i.e. non-white) noise case are covered. Emphasis is given to nonlinear systems (including multiplicative noise linear systems) and to stationary and Markovian noise. Standing reference is ARNOLD and KLIEMANN [7].

高歌

Noise Induced Transitionsise induced transitions. They are characterized by the fact that the system no longer adjusts its macroscopic behavior to the average value of the external constraints. In this paper I will address mainly the more theoretical aspects of these noise induced transitions. Their importance for natural systems is discussed in the paper by LEFEVER.

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978-3-642-68040-3Springer-Verlag Berlin Heidelberg 1981