Prevalence of Non-degenerate Periodic Solutions in the Forced Pendulum Equation

DOI10.1515/ans-2013-0113zbMath1278.34042OpenAlexW2518627927MaRDI QIDQ4920730

Rafael Ortega

Publication date: 22 May 2013

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2013-0113

zbMATH Keywords

pendulumprevalentgeneric

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (7)

Prevalence of stable periodic solutions for Duffing equations ⋮ The rate of decay of stable periodic solutions for Duffing equation with \(L^p\)-conditions ⋮ Stable periodic solutions in the forced pendulum equation ⋮ Prevalence of stable periodic solutions in the forced relativistic pendulum equation ⋮ Exact multiplicity and stability of periodic solutions for Duffing equation with bifurcation method ⋮ Subharmonic solutions of the forced pendulum equation: a symplectic approach ⋮ Stability of periodic orbits by Conley-Zehnder index theory

Cites Work

• A prevalent transversality theorem for Lipschitz functions

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