A cautionary tale of coupling cells with internal symmetries

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 11, Issue 1, 2001, Pages 123-132

  Wood, David ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034747505     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127401001980     Document Type: Article

References (11)

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4. Dias, A. P. S. & Stewart, I. [1999] "Symmetry-breaking bifurcations of wreath product systems," J. Nonlin. Sci. 9, 671-695.
5. Dionne, B., Golubitsky, M., & Stewart, I. [1996a] "Coupled cells with internal symmetry. Part I: Wreath products," Nonlinearity 9, 559-574.
6. Dionne, B., Golubitsky, M., & Stewart, I. [1996b] "Coupled cells with internal symmetry. Part II: Direct products," Nonlinearity 9, 575-600.
7. Field, M. J. & Richardson, R. W. [1989] "Symmetry breaking and the maximal isotropy subgroup conjecture for reflection groups," Arch. Rat. Mech. Anal. 105, 61-94.
8. Field, M. J. [1996] Lectures on Bifurcations, Dynamics and Symmetries, Pitman Research Notes in Mathematics Series 356 (Longman).
9. Golubitsky, M., Stewart, I. N. & Schaeffer, D. G. [1988] Singularities and Groups in Bifurcation Theory Vol. II, Appl. Math. Sci. 69 (Springer-Verlag, NY).
10. Wood, D. [1995] Coupled Oscillators With Internal Symetries, PhD. thesis, Maths Institute, University of Warwick.
11. 2 symmetry," Dyn. Syst. Stab. 13, 55-94.