Volume 78, Number 1, April 2007
|Number of page(s)||6|
|Published online||12 March 2007|
Collective skipping: Aperiodic phase locking in ensembles of bursting oscillators
Institute of Industrial Science, University of Tokyo - 153-8505 Tokyo, Japan
2 ERATO Aihara Complexity Modelling Project, JST - 151-0065 Tokyo, Japan
Corresponding author: firstname.lastname@example.org
Accepted: 8 February 2007
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
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