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Alexandra Jilkine
IAM Ph.D. Student, Department of Mathematics

Spatial Extensions of Bistable Systems

In general, a spatially extended bistable system exhibits travelling wave behaviour, and it can be proven that no stable spatially nonuniform solution exists for a structurally stable scalar reaction-diffusion equation in 1D. However, in systems of reaction-diffusion equations spatial pattern formation is often associated with a Turing mechanism. I present some simple examples of conservative systems which achieve spatial bistability but are not undergoing a Turing bifurcation.

Alexandra Jilkine