Dynamics, correlation scaling, and synchronization behavior in rings of delay-coupled oscillators

Guy Van Der Sande, Miguel C. Soriano, Ingo Fischer, Claudio R. Mirasso

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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. © 2008 The American Physical Society.

Original languageEnglish
Article number055202
JournalPhysical Review E
Volume77
Issue number5
DOIs
Publication statusPublished - 13 May 2008

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