Propagation failure induced by coupling inhomogeneities in a nonlinear diffusive medium

Saverio Morfu (1) , Jean-Christophe Comte (1) , Patrick Marquié (1) , Jean-Marie Bilbault (1)

1 Le2i - Laboratoire Electronique, Informatique et Image [UMR6306]

Kink propagation failure induced by coupling inhomogeneities in a Nagumo lattice is investigated. Considering the case of weak couplings, we define analytically and numerically the coupling conditions leading to the pinning of the kink.

Domaines: Formation de Structures et Solitons [nlin.PS]

Saverio Morfu, Jean-Christophe Comte, Patrick Marquié, Jean-Marie Bilbault. Propagation failure induced by coupling inhomogeneities in a nonlinear diffusive medium. Physics Letters A, 2002, pp.304-307. ⟨10.1016/S0375-9601(02)00073-7⟩. ⟨hal-00649863⟩