6533b7d2fe1ef96bd125ed28

RESEARCH PRODUCT

Propagation failure in discrete bistable reaction-diffusion systems: Theory and experiments

Saverio MorfuJean-christophe ComtePatrick Marquié

subject

WavefrontPhysicsBistability01 natural sciences010305 fluids & plasmasNonlinear systemFront propagationSystems theory[NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]Lattice (order)0103 physical sciencesReaction–diffusion systemDissipative system[ NLIN.NLIN-PS ] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]Statistical physics010306 general physics

description

International audience; 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.

10.1103/physreve.64.027102https://hal.archives-ouvertes.fr/hal-00649987