Ducks in space: from nonlinear absolute instability to noise-sustained structures in a pattern-forming system

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Ducks in space: from nonlinear absolute instability to noise-sustained structures in a pattern-forming system

A subcritical pattern-forming system with nonlinear advection in a bounded domain is recast as a slow-fast system in space and studied using a combination of geometric singular perturbation theory and numerical continuation. Two types of solutions describing the possible location of stationary front...

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Bibliographic Details
Main Authors:	Avitabile, Daniele, Desroches, Mathieu, Knobloch, Edgar, Krupa, Martin
Format:	Article
Published:	Royal Society 2017
Online Access:	https://eprints.nottingham.ac.uk/47195/

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