An exponential formula for polynomial vector fields

DOI10.1006/aima.1997.1638zbMath0888.34006OpenAlexW2078313886MaRDI QIDQ1362620

Rudolf Winkel

Publication date: 25 May 1998

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/9e6ed2d2861063b5a34f5977ad218a207a857aff

zbMATH Keywords

polynomial vector fieldsmatrix exponentiation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Qualitative theory for ordinary differential equations (34C99) Multilinear algebra, tensor calculus (15A69)

Related Items (1)

An exponential formula for polynomial vector fields. II: Lie series, exponential substitution, and rooted trees

Cites Work

• Moduli of stability for germs of homogeneous vectorfields on \(R^ 3\)
• Some problems in the qualitative theory of ordinary differential equations
• Classification and Analysis of two-dimensional real homogeneous quadratic differential equation systems
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• Dulac's memoir “On limit cycles” and related problems of the local theory of differential equations
• Algebras and differential equations
• On General Properties of Quadratic Systems
• Two Dimensional Homogeneous Quadratic Differential Systems
• Growth and Decay Estimates near Non-Elementary Stationary Points
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