no code implementations • 9 Oct 2019 • Jichen Yang, Jens D. M. Rademacher
The modelling of linear and nonlinear reaction-subdiffusion processes is more subtle than normal diffusion and causes different phenomena.
Analysis of PDEs 34A08, 34D20, 35B35, 35R11
no code implementations • 6 Mar 2019 • Marc Kesseböhmer, Jens D. M. Rademacher, Dennis Ulbrich
In this paper we analyse the non-wandering set of 1D-Greenberg-Hastings cellular automata models for excitable media with $e\geqslant 1$ excited and $r\geqslant 1$ refractory states and determine its (strictly positive) topological entropy.
Dynamical Systems 37B15, 37B20, 37B40, 74J35