Stanley Decomposition for Coupled Takens–Bogdanov Systems

DOI10.1142/S1402925110000647zbMath1194.34066OpenAlexW2091942649MaRDI QIDQ3565172

David M. Malonza

Publication date: 2 June 2010

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

Full work available at URL: https://doi.org/10.1142/s1402925110000647

zbMATH Keywords

ring of invariantsnormal formsbox productStanley decompositiontransvectantsmodule of equivariantsTakens-Bogdanov systems

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (2)

Normal forms with exponentially small remainder and Gevrey normalization for vector fields with a nilpotent linear part ⋮ Block Stanley decompositions. I: Elementary and gnomon decompositions

Cites Work

• Unnamed Item
• 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
• A new transvectant algorithm for nilpotent normal forms
• Normal Forms for Coupled Takens-Bogdanov Systems
• Normal Forms and Unfoldings for Local Dynamical Systems

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