Theoretical and experimental study of two discrete coupled Nagumo chains

V.I. Nekorkin (1) , V.B. Kazantsev (1) , Saverio Morfu (2, 3) , Jean-Marie Bilbault (2) , Patrick Marquié (2, 3)

1 Institute of Applied Physics of RAS
2 Le2i - Laboratoire Electronique, Informatique et Image [UMR6306]
3 CORES - Equipe CORES [ImViA - EA7535]

We analyze front wave (kink and antikink) propagation and pattern formation in a system composed of two coupled discrete Nagumo chains using analytical and numerical methods. In the case of homogeneous interaction among the chains, we show the possibility of the effective control on wave propagation. In addition, physical experiments on electrical chains confirm all theoretical behaviors.

Mots clés: nonlinear dynamics; Nagumo; neural network

Domaines: Formation de Structures et Solitons [nlin.PS]; Systèmes désordonnés et réseaux de neurones [cond-mat.dis-nn]; Electronique

V.I. Nekorkin, V.B. Kazantsev, Saverio Morfu, Jean-Marie Bilbault, Patrick Marquié. Theoretical and experimental study of two discrete coupled Nagumo chains. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2001, 64 (3), pp.036602. ⟨10.1103/PhysRevE.64.036602⟩. ⟨hal-00651412⟩