Abstract
We report on new results in stochastic bifurcation theory obtained in 1997 and 1998. These include: (i) a rather complete classification of the one-dimensional case by Crauel, Imkeller and Steinkamp, (ii) new insight into the stochastic Hopf bifurcation (made possible by the random version of the subdivision algorithm of Dellnitz et al.) by Keller and Ochs, (iii) a study of the stochastic Brusselator by Arnold, Bleckert and SchenkHoppé, (iv) Baxendale’s further studies of an SDE at a bifurcation point, (v) a new method of proving the existence of a random attractor for an SDE by transforming it into a random differential equation, by Imkeller and Schmalfuß.
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Arnold, L. (2001). Recent Progress in Stochastic Bifurcation Theory. In: Narayanan, S., Iyengar, R.N. (eds) IUTAM Symposium on Nonlinearity and Stochastic Structural Dynamics. Solid Mechanics and its Applications, vol 85. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0886-0_2
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DOI: https://doi.org/10.1007/978-94-010-0886-0_2
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