On a codimension-three bifurcation arising in a simple dynamo model

Physica D: Nonlinear Phenomena

Volumn 117, Issue 1-4, 1998, Pages 117-127

  Skeldon, Anne C ^a   Moroz, Irene M ^b  

^a CITY UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Codimension three bifurcation; Dynamo model; Takens Bogdanov

Indexed keywords

EID: 0000215574     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(97)00316-3     Document Type: Article

References (7)

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3. I.M. Moroz, Codimension-three bifurcations arising in Langmuir circulations, Contem. Math. 56 (1986) 223-235.
4. C. Li, C. Rousseau, Codimension-2 symmetric homoclinic bifurcations and application to 1 : 2 resonance, Can. J. Math. 42 (1990) 191-212.
5. J. Guckenheimer, P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Applied Mathematical Science, vol. 42, Springer, New York, 1986.
6. S.-N. Chow, C. Li, D. Wang, Normal forms and bifurcations of planar vector fields, Cambridge University Press, Cambridge, 1994.
7. I.M. Moroz, R. Hide, On self-exciting coupled double-disk homopolar dynamos driving series motors, Physica D (1997), submitted.