Two-colour patterns of synchrony in lattice dynamical systems

Nonlinearity

Volumn 18, Issue 2, 2005, Pages 631-657

  Wang, Yunjiao ^a   Golubitsky, Martin ^a  

^a University of Houston   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 14844310237     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/18/2/010     Document Type: Article

References (12)

1. Antoneli F, Dias APS, Golubitsky M and Wang Y 2004 Patterns of synchrony in lattice dynamical systems Preprint Department of Mathematics, University of Houston
2. Chow S-N, Mallet-Paret J and Van Vleck E S 1996 Pattern formation and spatial chaos in spatially discrete evolution equations Comput. Dynam. 4 109-78
3. Crandall M and Rabinowitz P 1971 Bifurcation from simple eigenvalues J. Funct. Anal. 8 321-40
4. Gillis D and Golubitsky M 1997 Patterns in square arrays of coupled cells J. Math. Anal. Appl. 208 487-509
5. Golubitsky M, Nicol M and Stewart I 2004 Some curious phenomena in coupled cell systems J. Nonlinear Sci. 14119-236
6. Golubitsky M and Stewart I 2002 Patterns of oscillation in coupled cell systems Geometry, Dynamics, and Mechanics: 60th Birthday Volume for J E Marsden ed P Holmes et al (Berlin: Springer) pp 243-86
7. Golubitsky M and Stewart I 2002 The Symmetry Perspective (Progress in Mathematics vol 200) (Basel: Birkhäuser)
8. Golubitsky M, Stewart I and Schaeffer D G 1988 Singularities and Groups in Bifurcation Theory II (Applied Mathematics Sciences vol 69) (New York: Springer)
9. Golubitsky M, Stewart I and Török A 2004 Patterns of synchrony in coupled cell networks with multiple arrows SIAM J. Appl. Dynam. Syst. 3 no 4
10. Stewart I, Golubitsky M and Pivato M 2003 Symmetry groupoids and patterns of synchrony in coupled cell networks SIAM J. Appl. Dynam. Syst. 2 609-46
11. Wang Y 2006 Patterns of synchrony PhD Thesis Department of Mathematics, University of Houston, in preparation
12. Wang Y and Golubitsky M 2004 Two-color patterns of synchrony in lattice dynamical systems Report University of Houston, http://www.math.uh.edu/~mg/ reprints/