Propagation failure in discrete bistable reaction-diffusion systems: theory and experiments.
Wave front propagation failure is investigated in discrete bistable reaction-diffusion systems. We present a theoretical approach including dissipative effects and leading to an analytical expression of the critical coupling beyond which front propagation can occur as a function of the nonlinearity threshold parameter. Our theoretical predictions are confirmed by numerical simulations and experimental results on an equivalent electrical diffusive lattice.
Comte
J C
JC
Laboratoire LE2I, FRE CNRS 2309, Université de Bourgogne, Aile de l'Ingénieur, Boîte Postale 47870, 21078 Dijon cedex, France.
Morfu
S
S
Marquié
P
P