A Lie-Deprit perturbation algorithm for linear differential equations with periodic coefficients

DOI10.3934/dcds.2014.34.959zbMath1283.34011OpenAlexW2031687251MaRDI QIDQ379773

Cristina Chiralt, Fernando Casas

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.959

zbMATH Keywords

perturbation theoryFloquet theoremperiodic linear systems

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (1)

A perturbative algorithm for quasi-periodic linear systems close to constant coefficients

Uses Software

• DLMF

Cites Work

• Floquet theory: exponential perturbative treatment
• On the solution of linear differential equations in Lie groups
• Unitary transformations depending on a small parameter
• Canonical transformations depending on a small parameter
• On the exponential solution of differential equations for a linear operator
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