Method of averaging for systems with main part vanishing at infinity

DOI10.1002/mana.201190025zbMath1238.34088OpenAlexW2000687541MaRDI QIDQ3087901

Pavel Nesterov

Publication date: 17 August 2011

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201190025

zbMATH Keywords

dichotomyKrylov-Bogolyubov averagingnon-autonomous Van der Pol equation

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (1)

On some extension of center manifold method to functional differential equations with oscillatory decreasing coefficients and variable delays

Cites Work

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• \(L_p\)-perturbations of invariant subbundles for linear systems
• On the averaging of differential equations on an infinite interval
• Averaging method in the asymptotic integration problem for systems with oscillatory-decreasing coefficients
• Krylov-Bogolyubov averaging of asymptotically autonomous differential equations
• Asymptotically Autonomous Semiflows: Chain Recurrence and Lyapunov Functions
• Averaging methods in nonlinear dynamical systems

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