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

DOI10.1016/j.amc.2015.10.012zbMath1410.34165OpenAlexW2204716489MaRDI QIDQ668499

Cristina Chiralt, Fernando Casas, Ana Arnal

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.10.012

zbMATH Keywords

stability analysisperturbation algorithmquasi-linear differential equations

Mathematics Subject Classification ID

Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Uses Software

• DLMF

Cites Work

• A Lie-Deprit perturbation algorithm for linear differential equations with periodic coefficients
• Resonance and fractal geometry
• On the reducibility of linear differential equations with quasiperiodic coefficients
• On a quasi-periodic Hopf bifurcation
• Regular and stochastic motion
• New perturbation algorithms for time-dependent quantum systems.
• Averaging method in the asymptotic integration problem for systems with oscillatory-decreasing coefficients
• Linear systems of ordinary differential equations with periodic and quasi-periodic coefficients
• Effective Reducibility of Quasi-periodic Linear Equations Close To Constant Coefficients
• Transition Curves for the Quasi-Periodic Mathieu Equation
• Analytic families of reducible linear quasi-periodic differential equations
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
• Unitary transformations depending on a small parameter
• On the exponential solution of differential equations for a linear operator
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