A generalized normal form and formal equivalence of systems of differential equations with zero characteristic numbers

DOI10.1023/A:1025144730356zbMath1078.34018OpenAlexW248576587MaRDI QIDQ1768958

Xianqiang Yang

Publication date: 15 March 2005

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

Full work available at URL: https://doi.org/10.1023/a:1025144730356

zbMATH Keywords

normal formzero approximationquasihomogeneous polynomialequivalence of systemsgeneralized normal formresonance equations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (3)

Generalized normal forms for two-dimensional systems of ordinary differential equations with linear and quadratic unperturbed parts ⋮ Generalized normal form and the formal equivalence of systems with zero approximation \((x_{2}^{3},-x_{1}^{3})\) ⋮ A generalized normal form and formal equivalence of two-dimensional systems with quadratic zero approximation. IV

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