Orbital formal normal forms for general Bogdanov-Takens singularity.

DOI10.1016/S0022-0396(03)00137-2zbMath1039.34033OpenAlexW2010545371MaRDI QIDQ1406511

Henryk Żołądek, Ewa Stróżyna

Publication date: 4 September 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0396(03)00137-2

zbMATH Keywords

Orbital normal formSingular point of vector field

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05)

Related Items (11)

INFINITE ORDER PARAMETRIC NORMAL FORM OF HOPF SINGULARITY ⋮ Gevrey normal forms for nilpotent contact points of order two ⋮ Complete transversal and formal normal forms of germs of vector fields ⋮ Spectral sequences and parametric normal forms ⋮ Normal form for high-dimensional nonlinear system and its application to a viscoelastic moving belt ⋮ Parametric normal forms for Bogdanov-Takens singularity; the generalized saddle-node case ⋮ Vector potential normal form classification for completely integrable solenoidal nilpotent singularities ⋮ Analytic integrability around a nilpotent singularity ⋮ Analytical integrability problem for perturbations of cubic Kolmogorov systems ⋮ PRACTICAL COMPUTATION OF NORMAL FORMS ON CENTER MANIFOLDS AT DEGENERATE BOGDANOV–TAKENS BIFURCATIONS ⋮ Leaf-normal form classification for \(n\)-Tuple Hopf singularities

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