Existence and stability of periodic motion under higher order averaging

DOI10.1016/0022-0396(86)90072-0zbMath0639.34039OpenAlexW1987233561MaRDI QIDQ1100329

John T. Montgomery

Publication date: 1986

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(86)90072-0

zbMATH Keywords

asymptotic expansioneigenvaluesDuffing equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Perturbations of ordinary differential equations (34D10) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Cites Work

• On the principle of reduced stability
• On averaging, reduction, and symmetry in Hamiltonian systems
• Qualitative dynamics from asymptotic expansions: Local theory
• Dynamic behavior from asymptotic expansions
• A Note on the Asymptotic Expansion of Eigenvalues

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