Issue
EPL
Volume 78, Number 1, April 2007
Article Number 10003
Number of page(s) 6
Section General
DOI http://dx.doi.org/10.1209/0295-5075/78/10003
Published online 12 March 2007
EPL, 78 (2007) 10003
DOI: 10.1209/0295-5075/78/10003

Collective skipping: Aperiodic phase locking in ensembles of bursting oscillators

G. Tanaka1 and K. Aihara1, 2

1  Institute of Industrial Science, University of Tokyo - 153-8505 Tokyo, Japan
2  ERATO Aihara Complexity Modelling Project, JST - 151-0065 Tokyo, Japan

gouhei@sat.t.u-tokyo.ac.jp

received 29 July 2006; accepted in final form 8 February 2007; published April 2007
published online 12 March 2007

Abstract
Aperiodic phase-locked firing found in biological neurons, called skipping, has been mainly modeled by a forced nonlinear system with noise so far. In contrast, we present another mechanism of skipping as a deterministic collective behavior in a population of coupled bursting oscillators. This collective skipping emerges when the highly irregular repetitive bursts in isolated oscillators are incompletely synchronized by coherent feedback inputs due to mutual connections. We show that the phenomenon is dependent on the coupling strength and the number of connections but almost independent of the network topology.

PACS
05.45.-a - Nonlinear dynamics and chaos.
05.45.Xt - Synchronization; coupled oscillators.
87.18.Hf - Spatiotemporal pattern formation in cellular populations.

© Europhysics Letters Association 2007