Mathematics – Dynamical Systems
Scientific paper
2008-05-02
Mathematics
Dynamical Systems
Scientific paper
We study several families of planar quadratic diffeomorphisms near a Bogdanov-Takens bifurcation. For each family, the associate bifurcation diagram can be deduced from the interpolating flow. However, a zone of chaos confined between two lines of homoclinic bifurcation that are exponentially close to one-another is observed. The goal of this paper is to test numerically an accurate asymptotic expansion for the width of this chaotic zone for different families.
Gelfreich Vassili
Naudot Vincent
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