publication-results



Code: 05/2012
Title: A homoclinic solution for excitation waves on a contractile substratum
Date: Saturday 21st January 2012
Author(s) : Ambrosi, D; Arioli, G; Koch, H.
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Abstract: We analyze a model of electric signalling in biological tissues and prove that this model admits a travelling wave solution. Our result is based on a new technique for computing rigorous bounds on the stable and unstable manifolds at an equilibrium point of a dynamical system depending on a parameter.