International audienceWave 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
Many developmental processes involve a wave of initiation of pattern formation, behind which a unifo...
International audienceKink propagation failure induced by coupling inhomogeneities in a Nagumo latti...
International audienceWe focus on the (sharp) threshold phenomena arising in some reaction-diffusion...
International audienceWave front propagation failure is investigated in discrete bistable reaction-d...
The paper deals with the existence and properties of frontpropagation between the stationary states ...
Exact, steady-state, single-front solutions are constructed for a spatially discrete bistable equati...
We construct exact travelling wave solutions of a discrete reaction-diffusion equation describing a ...
Simple models of defect motion in lattices identify dislocations [1] and cracks [8,9] with discrete ...
Propagating fronts arising from bistable reaction-diffusion equations are a purely deterministic eff...
We consider the propagation of wave fronts connecting unstable and stable uniform solutions to a dis...
One- and two-component bistable reaction-diffusion systems under external force are considered. The ...
International audienceThe phenomenon of wave propagation failure in a discrete inhomogeneous Nagumo ...
The phenomenon of wave propagation failure in a discrete inhomogeneous Nagumo chain is inves-tigated...
One- and two-component bistable reaction-diffusion systems under external force are considered. The ...
An analysis of front dynamics in discrete time and spatially extended systems with general bistable ...
Many developmental processes involve a wave of initiation of pattern formation, behind which a unifo...
International audienceKink propagation failure induced by coupling inhomogeneities in a Nagumo latti...
International audienceWe focus on the (sharp) threshold phenomena arising in some reaction-diffusion...
International audienceWave front propagation failure is investigated in discrete bistable reaction-d...
The paper deals with the existence and properties of frontpropagation between the stationary states ...
Exact, steady-state, single-front solutions are constructed for a spatially discrete bistable equati...
We construct exact travelling wave solutions of a discrete reaction-diffusion equation describing a ...
Simple models of defect motion in lattices identify dislocations [1] and cracks [8,9] with discrete ...
Propagating fronts arising from bistable reaction-diffusion equations are a purely deterministic eff...
We consider the propagation of wave fronts connecting unstable and stable uniform solutions to a dis...
One- and two-component bistable reaction-diffusion systems under external force are considered. The ...
International audienceThe phenomenon of wave propagation failure in a discrete inhomogeneous Nagumo ...
The phenomenon of wave propagation failure in a discrete inhomogeneous Nagumo chain is inves-tigated...
One- and two-component bistable reaction-diffusion systems under external force are considered. The ...
An analysis of front dynamics in discrete time and spatially extended systems with general bistable ...
Many developmental processes involve a wave of initiation of pattern formation, behind which a unifo...
International audienceKink propagation failure induced by coupling inhomogeneities in a Nagumo latti...
International audienceWe focus on the (sharp) threshold phenomena arising in some reaction-diffusion...