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Synchronization of coupled Boolean phase oscillators

Abstract : We design, characterize, and couple Boolean phase oscillators that include state-dependent feedback delay. The state-dependent delay allows us to realize an adjustable coupling strength, even though only Boolean signals are exchanged. Specifically, increasing the coupling strength via the range of state-dependent delay leads to larger locking ranges in uni- and bidirectional coupling of oscillators in both experiment and numerical simulation with a piecewise switching model. In the unidirectional coupling scheme, we unveil asymmetric triangular-shaped locking regions (Arnold tongues) that appear at multiples of the natural frequency of the oscillators. This extends observations of a single locking region reported in previous studies. In the bidirectional coupling scheme, we map out a symmetric locking region in the parameter space of frequency detuning and coupling strength. Because of the large scalability of our setup, our observations constitute a first step towards realizing large-scale networks of coupled oscillators to address fundamental questions on the dynamical properties of networks in a new experimental setting.
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https://hal-supelec.archives-ouvertes.fr/hal-01108725
Contributor : Sébastien van Luchene <>
Submitted on : Friday, January 23, 2015 - 1:33:46 PM
Last modification on : Wednesday, April 8, 2020 - 3:20:42 PM

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David P. Rosin, Damien Rontani, Daniel J. Gauthier. Synchronization of coupled Boolean phase oscillators. Physical Review Online Archive (PROLA), American Physical Society, 2014, 89 (4), pp.042907-1-7. ⟨10.1103/PhysRevE.89.042907⟩. ⟨hal-01108725⟩

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