|Title:||A homoclinic solution for excitation waves on a contractile substratum|
|Date:||Saturday 21st January 2012|
|Author(s) :||Ambrosi, D; Arioli, G; Koch, H.|
|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.|