Boundedness of semilinear Duffing equations with Liouvillean frequency

DOI10.3934/DCDS.2023127OpenAlexW4388113166MaRDI QIDQ6187257

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Publication date: 15 January 2024

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

Full work available at URL: https://doi.org/10.3934/dcds.2023127

zbMATH Keywords

boundednessKAM theoryHamiltonian systemsemilinear Duffing equationLiouvillean frequency

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Growth and boundedness of solutions to ordinary differential equations (34C11)

Cites Work

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• Boundedness in a Piecewise Linear Oscillator and a Variant of the Small Twist Theorem
• Lagrange stability for asymptotic linear Duffing equations

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