Volume 56, Number 4, November 2001
|Page(s)||504 - 509|
|Published online||01 December 2003|
Anti-phase regularization of coupled chaotic maps modelling bursting neurons
CNRS UMR 7625, Université Pierre et Marie Curie
7 quai Saint Bernard, 75252 Paris, France
and UFR de Biologie Université Paris 7-Denis Diderot - Paris, France
2 Université Paris 7-Denis Diderot, LPTMC, Tour 24-14 4 Place Jussieu, 75251 Paris Cedex 05 France
3 Institute for Nonlinear Science, University of California San Diego, 9500 Gilman Drive, La Jolla, California, 92093-0402, USA
Corresponding author: firstname.lastname@example.org
Accepted: 22 August 2001
We introduce a new class of maps that describe the chaotic activity of spiking-bursting neurons observed in neurophysiological experiments. We show that, depending on the connection (diffusively or reciprocally synaptically), coupled maps demonstrate several modes of cooperative dynamics: i) weakly correlated chaotic pulsations, ii) anti-phase quasi-regular bursting activity and iii) chaotic synchronization. Such phenomena have been observed in recent experiments with central pattern generator chaotic neurons. Taking into account the fact that the shape and the amplitude of the spikes are not important for the organisation of such cooperative dynamics, we analyzed the timing of the bursts only. We showed that the regime of anti-phase regularisation is stable against noise.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 05.45.Xt – Synchronization; coupled oscillators / 87.19.La – Neuroscience
© EDP Sciences, 2001
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