scientific article

zbMath1334.05073MaRDI QIDQ2801871

Henryk Żołądek, Ewa Stróżyna

Publication date: 22 April 2016

Full work available at URL: http://www.mathjournals.org/mmj/2015-015-001/2015-015-001-009.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

nilpotent singularityformal orbital normal formnon-orbital normal form

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Determinants, permanents, traces, other special matrix functions (15A15) Paths and cycles (05C38) Eigenvalues, singular values, and eigenvectors (15A18)

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Formal Normal Forms for Germs of Vector Fields with Quadratic Leading Part. The Rational First Integral Case ⋮ Normal forms of double Hopf oscillators with radial nonlinearities ⋮ Complete transversal and formal normal forms of germs of vector fields ⋮ Parametric normal forms for Bogdanov-Takens singularity; the generalized saddle-node case ⋮ Vector potential normal form classification for completely integrable solenoidal nilpotent singularities ⋮ Normal forms for germs of vector fields with quadratic leading part. The polynomial first integral case ⋮ Orbital normal forms for a class of three-dimensional systems with an application to Hopf-zero bifurcation analysis of Fitzhugh-Nagumo system ⋮ Bifurcation Controller Designs for the Generalized Cusp Plants of Bogdanov--Takens Singularity with an Application to Ship Control ⋮ Analytic properties of the complete formal normal form for the Bogdanov–Takens singularity ^* ⋮ Leaf-normal form classification for \(n\)-Tuple Hopf singularities

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