Group theoretic conditions for existence of robust relative homoclinic trajectories

Mathematical Proceedings of the Cambridge Philosophical Society

Volumn 133, Issue 1, 2002, Pages 125-141

  Ashwin, Peter ^a   Montaldi, James ^b  

^a UNIVERSITY OF EXETER   (United Kingdom)

^b INSTITUT NON LINÉAIRE DE NICE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77949995933     PISSN: 03050041     EISSN: 14698064     Source Type: Journal    
DOI: 10.1017/S0305004101005801     Document Type: Article

References (10)

1. A. P. S. DIAS, B. DIONNE and I. STEWART. Heteroclinic cycles and wreath product symmetries. Dynamics and Stability of Systems 15 (2000), 353-385.
2. B. DIONNE, M. GOLUBITSKY and I. STEWART. Coupled cells with internal symmetry: I. Wreath products. Nonlinearity 9 (1990), 559-574.
3. M. FIELD. Symmetry breaking for compact Lie groups, Mem. AMS 574 (1996).
4. M. FIELD. Lectures on Dynamics, Bifurcation and Symmetry. Pitman Research Notes in Mathematics 356 (1996).
5. J. GUCKENHEIMER and P. HOLMES. Structurally stable heteroclinic cycles. Math. Proc. Camb. Phil. Soc. 103 (1988), 189-192.
6. I. G. KEVREKIDIS, B. NICOLAENKO and J. C. SCOVEL. Back in the saddle again: a computer assisted study of the Kuramoto-Sivashinsky equation. SIAM J. Appl. Math. 50 (1990), 700-790.
7. M. KRUPA and I. MELBOURNE. Asymptotic stability of heteroclinic cycles in systems with symmetry. Erg. Th. Dyn. Sys. 15 (1995), 121-147.
8. I. MELBOURNE, P. CHOSSAT and M. GOLUBITSKY. Heteroclinic cycles involving periodic solutions in mode interactions with O(3) symmetry. Proc. Roy. Soc. Edinburgh 113A (1989), 315-345.
9. I. MELBOURNE, M. DELLNITZ and M. GOLUBITSKY. The structure of symmetric attractors. Arch. Rational Mech. Anal. 123 (1993), 75-98. [10] G. SCHWARZ. Lifting smooth homotopies of orbit spaces. Publ. Math. Inst. Haules Etudes Sci. 51 (1980), 37-135.
10. G. SCHWARZ. Lifting smooth homotopies of orbit spaces. Publ. Math. Inst. Haules Etudes Sci. 51 (1980), 37-135.