Anti-phase regularization of coupled chaotic maps modelling bursting neurons

Author: Cazelles B.   Courbage M.   Rabinovich M.  

Publisher: Edp Sciences

E-ISSN: 1286-4854|56|4|504-509

ISSN: 0295-5075

Source: EPL (EUROPHYSICS LETTERS), Vol.56, Iss.4, 2010-03, pp. : 504-509

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Abstract

We introduce a new class of maps that describe the chaotic activity ofspiking-bursting neurons observed in neurophysiologicalexperiments. We show that, depending on the connection (diffusively orreciprocally synaptically), coupled maps demonstrate several modes ofcooperative dynamics: i) weakly correlated chaotic pulsations, ii) anti-phase quasi-regular bursting activity and iii) chaoticsynchronization. Such phenomena have been observed in recentexperiments with central pattern generator chaotic neurons. Takinginto account the fact that the shape and the amplitude of the spikes arenot important for the organisation of such cooperative dynamics, weanalyzed the timing of the bursts only. We showed that the regime ofanti-phase regularisation is stable against noise.