Solutions of slowly and periodically varying differential equations. Applications to some classical examples

DOI10.1016/J.JMAA.2021.125822zbMath1487.34114OpenAlexW3041062656WikidataQ115345851 ScholiaQ115345851MaRDI QIDQ2059975

Nadir Sari

Publication date: 13 December 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125822

zbMATH Keywords

periodic solutionssingular perturbationnonlinear resonancefast oscillations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Forced motions for nonlinear problems in mechanics (70K40) Singular perturbations for ordinary differential equations (34E15) Nonautonomous smooth dynamical systems (37C60)

Cites Work

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• Sur La Structure De l’equation de Duffing Sans Dissipation
• Resonant sloshing in shallow water
• High Order Resonance for Duffing’s Differential Equation
• Chaotic solutions in slowly varying perturbations of Hamiltonian systems with applications to shallow water sloshing

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