Abstract

We show how wave motions propagate in a nonequilibrium discrete medium modeled by a one-dimensional array of diffusively coupled Chua's circuits. The problem of the existence of the stationary wave solutions is reduced to the analysis of bounded trajectories of a fourth-order system of nonlinear ODEs. Then, we study the homoclinic and heteroclinic bifurcations of the ODEs system. The lattice can sustain the propagation of solitary pulses, wave fronts and complex wave trains with periodic or chaotic profile.

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