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ID: 15155.0, MPI für Dynamik und Selbstorganisation / Nichtlineare Dynamik
Coexistence of regular and irregular dynamics in complex networks of pulse-coupled oscillators
Authors:Timme, Marc; Wolf, Fred; Geisel, Theo
Language:English
Date of Publication (YYYY-MM-DD):2002-12-16
Title of Journal:Physical Review Letters
Journal Abbrev.:Phys. Rev. Lett.
Volume:89
Issue / Number:25
Start Page:258701-1
End Page:258701-4
Sequence Number of Article:258701
Review Status:Peer-review
Audience:Not Specified
Abstract / Description:For general networks of pulse-coupled oscillators, including regular, random, and more complex networks, we develop an exact stability analysis of synchronous states. As opposed to conventional stability analysis, here stability is determined by a multitude of linear operators. We treat this multioperator problem exactly and show that for inhibitory interactions the synchronous state is stable, independent of the parameters and the network connectivity. In randomly connected networks with strong interactions this synchronous state, displaying regular dynamics, coexists with a balanced state exhibiting irregular dynamics. External signals may switch the network between qualitatively distinct states.
External Publication Status:published
Document Type:Article
Communicated by:Folkert Müller-Hoissen
Affiliations:MPI für Dynamik und Selbstorganisation
Identifiers:ISI:000179678900060 [ID No:1]
ISSN:0031-9007 [ID No:2]
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