Eur. Phys. J. B 11, 677-685 (1999)
https://doi.org/10.1007/s100510051196

Wave propagation along interacting fiber-like lattices

¹ Radiophysical Department, Nizhny Novgorod State University, 23 Gagarin Ave., 603600 Nizhny Novgorod, Russia
² Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, 1, Madrid 28 040, Spain

Corresponding author: ^a mvelarde@eucmax.sim.ucm.es

Received: 12 December 1998
Published online: 15 October 1999

Abstract

A fiber-like lattice with resistively coupled electronic elements mimicking a 1-D discrete reaction-diffusion system is considered. The chosen unit or element in the fiber is the paradigmatic Chua's circuit, capable of exhibiting bistable, excitable, oscillatory or chaotic behavior. Then the dynamics of a structure of two such interacting parallel active fibers is studied. Suitable conditions for the interaction to yield synchronization and other forms of collective behavior involving both fibers are obtained. They include wave front propagation, pulse reentry and pulse propagation failure, overcoming of propagation failure, and the appearance of a source of synchronized pulses. The possibility of designing controlled dynamic contacts by means of one or a few inter-fiber couplings is also discussed.