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  Coexistence of regular and irregular dynamics in complex networks of pulse-coupled oscillators

Timme, M., Wolf, F., & Geisel, T. (2002). Coexistence of regular and irregular dynamics in complex networks of pulse-coupled oscillators. Physical Review Letters, 89(25): 258701, pp. 258701-1-258701-4.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-172F-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-1730-B
Genre: Journal Article

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 Creators:
Timme, Marc1, Author              
Wolf, Fred1, 2, Author              
Geisel, Theo1, Author              
Affiliations:
1Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063286              
2Research Group Theoretical Neurophysics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063289              

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 Abstract: 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.

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Language(s): eng - English
 Dates: 2002-12-16
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: eDoc: 15155
ISI: 000179678900060
 Degree: -

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Title: Physical Review Letters
  Alternative Title : Phys. Rev. Lett.
Source Genre: Journal
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Pages: - Volume / Issue: 89 (25) Sequence Number: 258701 Start / End Page: 258701-1 - 258701-4 Identifier: ISSN: 0031-9007