Bifurcations at $\infty$ in a model for 1:4 resonance
نویسندگان
چکیده
منابع مشابه
Bifurcations at ∞ in a model for 1:4 resonance
The equation ż = ez + eiφz|z|2 + bz̄3 models a map near a Hopf bifurcation with 1:4 resonance. It is a conjecture by V. I. Arnol’d that this equation contains all versal unfoldings of Z4-equivariant planar vector fields. We study its bifurcations at ∞ and show that the singularities of codimension two unfold versally in a neighborhood. We give an unfolding of the codimension-three singularity fo...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 1997
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385797085039