Study of synchronized motions in a one-dimensional array of coupled chaotic circuits

We investigate the stability of synchronous motion in an array of bidirecti onally coupled electronic circuits. We compute Lyapunov exponents of the ge neric variational equation associated with directions transversal to the sy nchronization subspace. Using Lyapunov exponents we derive conditions for t he coupling strength for which the stable synchronous solution exists. We a lso find the limit on the size of the network, which can sustain stable syn chronous motion. Theoretical results are compared with the results of numer ical experiments.