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Stability of synchronization in a shift-invariant ring of mutually coupled oscillators
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Yamapi, R. and MacKay, Robert S. (2008) Stability of synchronization in a shift-invariant ring of mutually coupled oscillators. Discrete and Continuous Dynamical Systems. Series B, Volume 10 (Number 4). pp. 973-996. doi:DOI:10.3934/dcdsb.2008.10.973 ISSN 1531-3492.
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Official URL: http://dx.doi.org/10.3934/dcdsb.2008.10.973
Abstract
This paper treats synchronization dynamics in a shift-invariant ring of N mutually coupled self-sustained electrical units. Via some qualitative theory for the Lyapunov exponents, we derive the regimes of coupling parameters for which synchronized oscillation is stable or unstable in the ring.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Stability, Lyapunov exponents | ||||
Journal or Publication Title: | Discrete and Continuous Dynamical Systems. Series B | ||||
Publisher: | American Institute of Mathematical Sciences | ||||
ISSN: | 1531-3492 | ||||
Official Date: | November 2008 | ||||
Dates: |
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Volume: | Volume 10 | ||||
Number: | Number 4 | ||||
Number of Pages: | 24 | ||||
Page Range: | pp. 973-996 | ||||
DOI: | DOI:10.3934/dcdsb.2008.10.973 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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