Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

Symmetry and synchrony in coupled cell networks 3 : exotic patterns

Tools
- Tools
+ Tools

Antoneli, Fernando and Stewart, Ian (2008) Symmetry and synchrony in coupled cell networks 3 : exotic patterns. International Journal of Bifurcation and Chaos, Vol.18 (No.2). pp. 363-373. doi:DOI:10.1142/S0218127408020331

Research output not available from this repository, contact author.
Official URL: http://dx.doi.org/10.1142/S0218127408020331

Request Changes to record.

Abstract

This paper continues the study of patterns of synchrony ( equivalently, balanced colorings or flowinvariant subspaces) in symmetric coupled cell networks, and their relation to fixed-point spaces of subgroups of the symmetry group. Our aim is to provide a group-theoretic explanation of the "exotic" balanced coloring previously discussed in Part 2. Here we show that the pattern can be obtained as a projection into two dimensions of a fixed-point pattern in a three-dimensional lattice. We prove a general theorem giving sufficient conditions for such a construction to lead to a balanced coloring, for an arbitrary direct product of group networks.

Item Type: Journal Article
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): System theory, Group theory, Symmetry groups, Symmetry (Physics), Chaotic behavior in systems, Pattern formation (Physical sciences)
Journal or Publication Title: International Journal of Bifurcation and Chaos
Publisher: World Scientific Publishing Co. Pte. Ltd.
ISSN: 0218-1274
Official Date: February 2008
Dates:
DateEvent
February 2008Published
Volume: Vol.18
Number: No.2
Number of Pages: 11
Page Range: pp. 363-373
DOI: DOI:10.1142/S0218127408020331
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: National Science Foundation (U.S.) (NSF), Engineering and Physical Sciences Research Council (EPSRC), Universidade do Porto. Centro de Matemática (CMUP), Fundação para a Ciência e a Tecnologia (FCT)
Grant number: DMS-0244529 (NSF)

Data sourced from Thomson Reuters' Web of Knowledge

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item
twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us