6533b871fe1ef96bd12d2225

RESEARCH PRODUCT

EXPERIMENTAL PROPAGATION FAILURE IN A NONLINEAR ELECTRICAL LATTICE

Stéphane BinczakJean-marie Bilbault

subject

Mathematical optimizationBistabilityApplied MathematicsNonlinear latticeMechanicslaw.inventionNonlinear systemlawModeling and SimulationLattice (order)Electrical networkTraveling waveEngineering (miscellaneous)Mathematics

description

We consider an experimental setup, modeling the FitzHugh–Nagumo equation without recovery term and composed of a nonlinear electrical network made up of discrete bistable cells, resistively coupled. In the first place, we study experimentally the propagation of topological fronts in the continuum limit where the analytical solution can be obtained. We show that experimental results match the theoretical predictions. The discrete case is then investigated theoretically and in the lattice, emphasizing the pinning of traveling waves.

https://doi.org/10.1142/s0218127404010187