Synchronization states and multistability in a ring of periodic oscillators: experimentally variable coupling delays
Caitlin R S Williams1, Francesco Sorrentino2, Thomas E Murphy3
1Department of Physics and Engineering, Washington and Lee University, Lexington, Virginia 24450, USA.
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.
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