Spectral Analysis, Stability and Bifurcation in Modern Nonlinear Physical Systems (12w5073)


Paul Binding (University of Calgary)

(University of Surrey)

(Kyushu University)

Igor Hoveijn (Noordelijke Hogeschool Leeuwarden)

(Helmholtz-Zentrum Dresden-Rossendorf)

(McMaster University)


The Banff International Research Station will host the "Spectral Analysis, Stability and Bifurcation in Modern Nonlinear Physical Systems" workshop from November 4th to November 9th, 2012.

To understand hidden new intriguing connections between stability issues in nonlinear partial differential equations, geometrical optics stability analysis and dissipation-induced instabilities as well as to unify existing approaches to linearised stability analysis of stationary and periodic solutions of both finite and infinite dimensional dynamical systems the workshop brings together specialists in the theory of Pontryagin and Krein spaces, analysis of PDEs, singularity theory and dynamical systems, numerical analysis and applied linear algebra as well as mathematical and theoretical physicists. These different topics will be connected together in a sequence of original talks and a number of research collaborations in six focus groups on the open problems in such areas as indefinite and non-invertible metric in Krein spaces, asymptotic stability analysis of nonlinear dispersive wave equations, instabilities in fluid dynamics and MHD, perturbative and group theoretic analysis of dissipation induced instabilities as well as on the computational aspects related to geometric phase, Maslov index and distance to the nearest degenerate matrix.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).