HOMOCLINIC ORBITS AND SOLITARY WAVES IN A ONE-DIMENSIONAL ARRAY OF CHUAS CIRCUITS

The possible propagation of solitary waves in a one-dimensional array of inductively coupled Chua's circuits is considered. We show that in the long-wave limit, the problem can be reduced to the analysis of the homoclinic orbits of a dynamical system described by three coupled no nlinear ordinary differential equations modeling the individual dynami cs of a single Chua's circuit. Analytical, numerical, and experimental results concerning the bifurcations associated with the appearance of homoclinic orbits and thus with the propagation of solitary waves are provided.