title: Dynamics, correlation scaling, and synchronization behavior in rings of delay-coupled oscillators.
abstract: We study the dynamics of unidirectionally delay-coupled nonlinear oscillators. Cascading them within a ring of fixed total propagation delay, we demonstrate simple scaling behavior of correlation properties. In fact, the correlation properties of a ring with N elements can be deduced from the autocorrelation of the single delayed feedback system. Coupling a ring element to a chain of unidirectionally coupled identical oscillators, we achieve complete synchronization between elements of chain and ring, evidencing generalized synchronization among the other elements, even if uncorrelated.
authors.affiliation: Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC, CSIC-UIB), Campus Universitat Illes Balears, E-07122 Palma de Mallorca, Spain. guy.van.der.sande@vub.ac.be
authors.forename: Guy
authors.initials: G
authors.lastname: Van der Sande
authors.forename: Miguel C
authors.initials: MC
authors.lastname: Soriano
authors.forename: Ingo
authors.initials: I
authors.lastname: Fischer
authors.forename: Claudio R
authors.initials: CR
authors.lastname: Mirasso