Hopf bifurcations in three coupled oscillators with internal ℤ2 symmetries

Dynamical Systems

Volumn 13, Issue 1, 1998, Pages 55-93

  Wood, David ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; OSCILLATORS (MECHANICAL);

HOPF BIFURCATIONS;

BIFURCATION (MATHEMATICS);

EID: 0032022739     PISSN: 14689367     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

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2. 3-symmetry. Preprint, Institut für Informationverarbeitung.
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4. Dionne, B., Golubitsky, M. and Stewart I. (1996b) Coupled cells with internal symmetry. Part II: direct products. Nonlinearity 575-600.
5. Golubitsky, M., Stewart, I. N. and Schaeffer, D. G. (1988) Singularities and Groups in Bifurcation Theory, Vol II (Applied Mathematical Science 69; Springer, New York).
6. Guckenheimer, J. and Homes, P. (1983) Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Science 42; Springer, New York).
7. Hall, M. (1976) The Theory Of Groups (Chelsea Publishing, New York).
8. Melbourne I. (1986) A Singularity Theory Analysis of Bifurcation Problems with Octahedral Symmetry. Dynamics and Stability of Systems 1, 293-321.
9. Press, W. H., Flannery, B. P., Teukolskus, S. A. and Vetterling, W. T. (1989) Numerical Recipes in Pascal, The Art of Scientific Computing (Cambridge University Press).
10. Wood, D. (1995) Coupled Oscillators with Internal Symmetries. PhD thesis, Mathematics Institute, University of Warwick, UK.