UNIQUE NORMAL FORMS FOR NILPOTENT PLANAR VECTOR FIELDS

DOI10.1142/S0218127402005741zbMath1043.37041OpenAlexW2003125137MaRDI QIDQ4736288

Duo Wang, Guoting Chen, Xiao-Feng Wang

Publication date: 9 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127402005741

zbMATH Keywords

normal formTakens-Bogdanov singularitynilpotent vector fieldlinear grading

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05) Dynamics induced by flows and semiflows (37C10)

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Uses Software

• Maple

Cites Work

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• COMPUTATION OF SIMPLEST NORMAL FORMS OF DIFFERENTIAL EQUATIONS ASSOCIATED WITH A DOUBLE-ZERO EIGENVALUE
• Further reduction of normal forms for vector fields