Summary
A general framework of a stochastic version of bifurcation theory is proposed. The concepts are exemplified by one dimensional examples which are perturbed versions of deterministic differential equations exhibiting the elementary bifurcation scenarios. As explosion in finite time is possible, local stochastic dynamical systems have to be introduced.
on leave from: Institut für Dynamische Systeme Universität Bremen Postfach 330 440 2800 Bremen 33 W-Germany
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Arnold, L., Boxler, P. (1992). Stochastic bifurcation: instructive examples in dimension one. In: Pinsky, M.A., Wihstutz, V. (eds) Diffusion Processes and Related Problems in Analysis, Volume II. Progress in Probability, vol 27. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0389-6_10
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DOI: https://doi.org/10.1007/978-1-4612-0389-6_10
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