Spike synchronization of chaotic oscillators as a phase transition |
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Authors: | M Ciszak A Montina F T Arecchi |
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Institution: | 1.C.N.R.-Istituto Nazionale di Ottica Applicata,Florence,Italy;2.Dipartimento di Fisica,Università di Firenze,Sesto Fiorentino (FI),Italy |
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Abstract: | We study how a locally coupled array of spiking chaotic systems synchronizes to an external driving in a short time. Synchronization means spike separation at adjacent sites much shorter than the average inter-spike interval; a local lack of synchronization is called a defect. The system displays sudden spontaneous defect disappearance at a critical coupling strength suggesting an existence of a phase transition. Below critical coupling, the system reaches order at a definite amplitude of an external input; this order persists for a fixed time slot. Thus, the array behaves as an excitable-like system, even though the single element lacks such a property. |
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