title: Collective phase locked states in a chain of coupled chaotic oscillators.
abstract: 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 N-1 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.
authors.affiliation: Departamento de Fisica y Matematica Aplicada, Universidad de Navarra, Pamplona, Spain and Departamento de Física, Universidad Nacional de San Luis, Argentina.
authors.forename: D L
authors.initials: DL
authors.lastname: Valladares
authors.forename: S
authors.initials: S
authors.lastname: Boccaletti
authors.forename: F
authors.initials: F
authors.lastname: Feudel
authors.forename: J
authors.initials: J
authors.lastname: Kurths