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Open Access item Dynamics, correlation and synchronization behavior in rings of delay-coupled oscillators

Authors:Van der Sande, Guy
Soriano, Miguel C.
Fischer, Ingo
Mirasso, Claudio R.
Keywords:Chaos, Nonlinear dynamical systems, [PACS] Synchronization; coupled oscillators (nonlinear dynamical systems), [PACS] Delay and functional equations, [PACS] High-dimensional chaos, [PACS] Dynamics of nonlinear optical systems
Issue Date:13-May-2008
Publisher:American Physical Society
Citation:Physical Review E 77(5): 055202(R) (2008)
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.
Description:4 pages, 4 figures.-- PACS nrs.: 05.45.Xt; 02.30.Ks; 05.45.Jn; 42.65.Sf.-- Rapid communication.
Publisher version (URL):http://dx.doi.org/10.1103/PhysRevE.77.055202
Appears in Collections:(IFISC) Artículos

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