Alternating Synchronous Processes

Epaminondas Rosa

Illinois State University

A subtle synchronous transition observed in several systems may play a role in neuronal systems regarding stability and information processing. This is the case of an oscillator alternating synchronous states with other oscillators. Consider, for the sake of illustration, oscillator B coupled to oscillators A and C. Depending on the type and strength of the couplings, oscillator B may keep synchrony with oscillator A for a while and not with oscillator C, then break synchrony with oscillator A and synchronize with oscillator C for a while, break it with oscillator C and synchronize back to oscillator A, etc. This behavior has been observed in a number of cases including plasmas, lasers, electronic circuits, and modeling of coupled ecological patches. This presentation will discuss the alternating synchronous phenomena and potential implications for neuronal systems.

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