Normal Forms for Coupled Takens-Bogdanov Systems

DOI10.2991/jnmp.2004.11.3.8zbMath1070.34063OpenAlexW2134364358MaRDI QIDQ4659228

David M. Malonza

Publication date: 21 March 2005

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://lib.dr.iastate.edu/rtd/730

zbMATH Keywords

normal formsGroebner basisStanley decompositioncoupled Takens-Bogdanov systems

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20)

Related Items (6)

Unnamed Item ⋮ A new transvectant algorithm for nilpotent normal forms ⋮ Block Stanley decompositions. II: Greedy algorithms, applications, and open problems ⋮ Stanley Decomposition for Coupled Takens–Bogdanov Systems ⋮ Block Stanley decompositions. I: Elementary and gnomon decompositions ⋮ Normal Forms for Coupled Takens-Bogdanov Systems

Cites Work

• Normal form for the (2;n)-nilpotent vector field, using invariant theory
• Computing combinatorial decompositions of rings
• Normal form for generalized Hopf bifurcation with non-semisimple 1:1 resonance
• On the structure of nilpotent normal form modules
• A \textit{Mathematica} version of Zeilberger's algorithm for proving binomial coefficient identities
• Computer algebra methods for equivariant dynamical systems
• Normal Forms for Coupled Takens-Bogdanov Systems
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