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  Prevalence of unstable attractors in networks of pulse-coupled oscillators

Timme, M., Wolf, F., & Geisel, T. (2002). Prevalence of unstable attractors in networks of pulse-coupled oscillators. Physical Review Letters, 89(15), 154105-1-154105-4.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-1747-A Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-174D-D
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: We present and analyze the first example of a dynamical system that naturally exhibits attracting periodic orbits that are unstable. These unstable attractors occur in networks of pulse-coupled oscillators, and become prevalent with increasing network size for a wide range of parameters. They are enclosed by basins of attraction of other attractors but are remote from their own basin volume such that arbitrarily small noise leads to a switching among attractors.

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Language(s): eng - English
 Dates: 2002-10-07
 Publication Status: Published in print
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 Table of Contents: -
 Rev. Method: -
 Identifiers: eDoc: 15159
ISI: 000178195500021
 Degree: -

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Title: Physical Review Letters
Source Genre: Journal
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Pages: - Volume / Issue: 89 (15) Sequence Number: - Start / End Page: 154105-1 - 154105-4 Identifier: ISSN: 0031-9007