Normal Forms for Coupled Takens-Bogdanov Systems
نویسندگان
چکیده
منابع مشابه
Normal Forms for Coupled Takens-Bogdanov Systems
The set of systems of differential equations that are in normal form with respect to a particular linear part has the structure of a module of equivariants, and is best described by giving a Stanley decomposition of that module. In this paper Groebner basis methods are used to determine a Groebner basis for the ideal of relations and a Stanley decomposition for the ring of invariants that arise...
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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 Nonlinear Mathematical Physics
سال: 2004
ISSN: 1776-0852
DOI: 10.2991/jnmp.2004.11.3.8