Title	Bifurcations of random dynamical systems
Creator	Rasmussen, Martin
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2015-01-21
Description	Despite its importance for applications, relatively little progress has been made towards the development of a bifurcation theory for random dynamical systems. In this talk, I will demonstrate that adding noise to a deterministic mapping with a pitchfork bifurcation does not destroy the bifurcation, but leads to two different types of bifurcations. The first bifurcation is characterized by a breakdown of uniform attraction, while the second bifurcation can be described topologically. Both bifurcations do not correspond to a change of sign of the Lyapunov exponents, but I will explain that these bifurcations can be characterized by qualitative changes in the dichotomy spectrum and collisions of attractor-repeller pairs. This is joint work with M. Callaway, T.S. Doan, J.S.W Lamb (Imperial College) and C.S. Rodrigues (MPI Leipzig).
Extent	45 minutes
Subject	Mathematics; Dynamical systems and ergodic theory; Probability theory and stochastic processes; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Imperial College London
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2015-07-23
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivs 2.5 Canada
DOI	10.14288/1.0044851
URI	http://hdl.handle.net/2429/54136
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
Aggregated Source Repository	DSpace

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Bifurcations of random dynamical systems Rasmussen, Martin

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