Synchronization states and multistability in a ring of periodic oscillators: Experimentally variable coupling delays

Published/Posted: November 12, 2013

Authors: Williams, C. R. S.; Sorrentino, F.; Murphy, T. E.; Roy, R.

DOI: 10.1063/1.4829626

Abstract: We experimentally study the complex dynamics of a unidirectionally coupled ring of four identical optoelectronic oscillators. The coupling between these systems is time-delayed in the experiment and can be varied over a wide range of delays. We observe that as the coupling delay is varied, the system may show different synchronization states, including complete isochronal synchrony, cluster synchrony, and two splay-phase states. We analyze the stability of these solutions through a master stability function approach, which we show can be effectively applied to all the different states observed in the experiment. Our analysis supports the experimentally observed multistability in the system.

Citation:
C. R. S. Williams, F. Sorrentino, T. E. Murphy and R. Roy, "Synchronization states and multistability in a ring of periodic oscillators: Experimentally variable coupling delays", Chaos 23(4) 043117 (2013)
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Manuscript: Williams_Chaos_23_043117_2013.pdf

Posted in Electro-Optics, Nonlinear Dynamics, Synchronization