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Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/14833
Title: 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
URI: http://hdl.handle.net/10261/14833
ISSN: 1539-3755
DOI: 10.1103/PhysRevE.77.055202
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