A homoclinic solution for excitation waves on a contractile substratum
Saturday 21st January 2012
Ambrosi, D; Arioli, G; Koch, H.
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.