Abstract
Transition rates in dissipative dynamical systems subject to external noise are investigated. The focus is on systems whose underlying deterministic dynamics supports bistable attracting states. Both simple one-variable systems governed by motion in a bistable potential, as well as more complicated systems in two and higher dimensions involving bistability between other types of attractors, are considered. If external noise is applied to such systems, transitions between the noisy analogs of the deterministic attractors may take place. The conditions under which such transitions may be described by first-order phenomenological rate laws are determined and the transition rates are computed. Transitions between two steady states and between a steady state and a limit cycle are considered in some detail.
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Kapral, R. (1995). Noise-Induced Transitions and Chemical Rate Laws. In: Talkner, P., Hänggi, P. (eds) New Trends in Kramers’ Reaction Rate Theory. Understanding Chemical Reactivity, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0465-4_6
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DOI: https://doi.org/10.1007/978-94-011-0465-4_6
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