D.L. Valladares, S. Boccaletti, F. Feudel and J. Kurths “Collective Phase Locked States in a Chain of Coupled Chaotic Oscillators”, Phys. Rev. E 65, 055208, (R)(2002).
We discuss the emergence of a collective phase locked state in an open chain of N unidirectionally weakly
coupled nonidentical chaotic oscillators. Such a regime is characterized by a Lyapunov spectrum where
N21 exponents that were zero in the uncoupled regime assume negative values as the coupling strength
increases. The dynamics of such collective state is studied, and a comparison is drawn with the case of phase
synchronization of a pair of coupled chaotic oscillators. In particular, it is shown that a full phase synchronized
state cannot be constructed without at least partial correlation in the chaotic amplitudes.