Asymptotic analysis of perturbed Takens-Bogdanov points
نویسندگان
چکیده
منابع مشابه
Improved Homoclinic Predictor for Bogdanov-Takens Bifurcation
An improved homoclinic predictor at a generic codim 2 Bogdanov-Takens (BT) bifucation is derived. We use the classical “blow-up” technique to reduce the canonical smooth normal form near a generic BT bifurcation to a perturbed Hamiltonian system. With a simple perturbation method, we derive explicit firstand second-order corrections of the unperturbed homoclinic orbit and parameter value. To ob...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1991
ISSN: 0377-0427
DOI: 10.1016/0377-0427(91)90015-c