Computing simplest normal forms for the Takens-Bogdanov singularity
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Publication:1431479
DOI10.1007/BF02969413zbMath1050.34052OpenAlexW1987189631MaRDI QIDQ1431479
Publication date: 9 June 2004
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02969413
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)
Related Items (6)
A bifurcation analysis of a simple electronic circuit ⋮ MULTIPARAMETRIC BIFURCATIONS IN AN ENZYME-CATALYZED REACTION MODEL ⋮ Explicit transversality conditions and local bifurcation diagrams for bogdanov-Takens bifurcation on center manifolds ⋮ Quasi-homogeneous linearization of degenerate vector fields ⋮ PRACTICAL COMPUTATION OF NORMAL FORMS ON CENTER MANIFOLDS AT DEGENERATE BOGDANOV–TAKENS BIFURCATIONS ⋮ Codimension-3 Bifurcation in the p53 Regulatory Network Model
Cites Work
- Linear grading function and further reduction of normal forms
- A simple global characterization for normal forms of singular vector fields
- Further reduction of the Takens-Bogdanov normal form
- Hypernormal forms for equilibria of vector fields. Codimension one linear degeneracies
- Unique normal form of Bogdanov-Takens singularities
- The analytic and formal normal form for the nilpotent singularity
- Formal reduction of cuspidal singularities of analytic vector fields
- An algorithm for computing a new normal form for dynamical systems
- Normal forms for singularities of vector fields
- COMPUTATION OF SIMPLEST NORMAL FORMS OF DIFFERENTIAL EQUATIONS ASSOCIATED WITH A DOUBLE-ZERO EIGENVALUE
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