Control of transient synchronization with external stimuli

Year: 2009

Authors: Ciszak M., Montina A., Arecchi F.T.

Autors Affiliation: C.N.R.-Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy; Dipartimento di Fisica, Universitá di Firenze, 50019 Sesto Fiorentino, Italy

Abstract: A network of coupled chaotic oscillators can switch spontaneously to a state of collective synchronization at some critical coupling strength. We show that for a locally coupled network of units with coexisting quiescence and chaotic spiking states, set slightly below the critical coupling value, the collective excitable or bistable states of synchronization arise in response to a stimulus applied to a single node. We provide an explanation of this behavior and show that it is due to a combination of the dynamical properties of a single node and the coupling topology. By the use of entropy as a collective indicator, we present a new method for controlling the transient synchronization.

Journal/Review: CHAOS

Volume: 19 (1)      Pages from: 015104  to: 015104

More Information: M.C. acknowledges a Marie Curie Intra-European Program within the 6th European Community Framework Programme. A.M. acknowledges Ente Cassa di Risparmio di Firenze under the Project Dinamiche cerebrali caotiche.
KeyWords: algorithm; anatomy and histology; animal; biological model; brain; computer simulation; entropy; human; nerve cell; nerve cell network; nonlinear system; oscillometry; perceptive threshold; physiology; theoretical model; time, Algorithms; Animals; Brain; Computer Simulation; Entropy; Humans; Models, Neurological; Models, Theoretical; Nerve Net; Neurons; Nonlinear Dynamics; Oscillometry; Sensory Thresholds; Time Factors
DOI: 10.1063/1.3080195

Citations: 13
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