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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Alexander Bogdanov (1873-1928) – scientist, philosopher, economist, physician, novelist, poet, and Marxist revolutionary – is mostly ignored by general histories of Europe and Russia and generally appears only as a minor character in the more specialized works of Russian philosophy and the Russian Social-Democratic movement. Yet it seems that no one who becomes familiar with his work fails to b...
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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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15 صفحه اولInteractions of Andronov-Hopf and Bogdanov-Takens Bifurcations
A codimension-three bifurcation, characterized by a pair of purely imaginary eigenvalues and a nonsemisimple double zero eigenvalue, arises in the study of a pair of weakly coupled nonlinear oscillators with Z2 Z2 symmetry. The methodology is based on Arnold's ideas of versal deformations of matrices for the linear analysis, and Poincar e normal forms for the nonlinear analysis of the system. B...
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ژورنال
عنوان ژورنال: Democracy & Nature
سال: 2000
ISSN: 1085-5661,1469-3720
DOI: 10.1080/10855660020020230