Abstract
Some aspects of the bifurcations of a modified van der Pol oscillator are considered. We focus our attention on the bifurcations related to a double-zero degeneracy in the linear part of the equilibrium point in the origin. The analysis of the corresponding normal form shows the possibility of additional degeneracy in the nonlinear part, which leads us to study a 3-parameter family of planar vector fields whose bifurcation set is described.
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© 1991 Birkhäuser Verlag Basel
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Rodríguez-Luis, A.J., Freire, E., Ponce, E. (1991). On a Codimension 3 Bifurcation Arising in an Autonomous Electronic Circuit. In: Seydel, R., Schneider, F.W., Küpper, T., Troger, H. (eds) Bifurcation and Chaos: Analysis, Algorithms, Applications. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 97. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7004-7_39
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DOI: https://doi.org/10.1007/978-3-0348-7004-7_39
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7006-1
Online ISBN: 978-3-0348-7004-7
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