Box products in nilpotent normal form theory: the factoring method

DOI10.1016/j.jde.2015.09.018zbMath1333.34054arXiv1511.04091OpenAlexW1809845323MaRDI QIDQ890186

James A. Murdock

Publication date: 9 November 2015

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

Full work available at URL: https://arxiv.org/abs/1511.04091

zbMATH Keywords

normal formsinvariant theoryvector fieldsStanley decompositionsnilpotent linear part

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

Box products in nilpotent normal form theory: the factoring method, Block Stanley decompositions. II: Greedy algorithms, applications, and open problems, Vector potential normal form classification for completely integrable solenoidal nilpotent singularities, Block Stanley decompositions. I: Elementary and gnomon decompositions, Bifurcation Control and Universal Unfolding for Hopf-Zero Singularities with Leading Solenoidal Terms

Cites Work

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• Normal Forms and Unfoldings for Local Dynamical Systems
• Averaging methods in nonlinear dynamical systems
• Algorithms in invariant theory
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