Explosive first-order transition to synchrony in networked chaotic oscillators

Abstract

Critical phenomena in complex networks, and the emergence of dynamical abrupt transitions in the macroscopic state of the system are currently a subject of the outmost interest. We report evidence of an explosive phase synchronization in networks of chaotic units. Namely, by means of both extensive simulations of networks made up of chaotic units, and validation with an experiment of electronic circuits in a star configuration, we demonstrate the existence of a first order transition towards synchronization of the phases of the networked units. Our findings constitute the first prove of this kind of synchronization in practice, thus opening the path to its use in real-world applications.

Phys. Rev. Lett. in press

References in corpus (6)

• Synchronization in complex networks
• Critical phenomena in complex networks
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• Synchronization of extended chaotic systems with long-range interactions: an analogy to Levy-flight spreading of epidemics
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Cited by in corpus (9)

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• Kuramoto model with frequency-degree correlations on complex networks
• Disorder induces explosive synchronization
• Explosive synchronization with partial degree-frequency correlation
• Effects of degree-frequency correlations on network synchronization: universality and full phase-locking
• Effect of assortative mixing in the second-order Kuramoto model
• Synchronization of Intermittent Behavior in Ensembles of Multistable Dynamical Systems
• Cooperative behavior between oscillatory and excitable units: the peculiar role of positive coupling-frequency correlations
• Abnormal Synchronizing Path of Delay-coupled Chaotic Oscillators on the Edge of Stability