Dynamic behavior from asymptotic expansions

DOI10.1090/qam/700669zbMath0519.34029OpenAlexW284478016MaRDI QIDQ3669785

Jack K. Hale, Luiz Carlos Pavlu

Publication date: 1983

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/700669

zbMATH Keywords

exponential dichotomyresonancestrong k-hyperbolicity

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Celestial mechanics (70F15) Asymptotic properties of solutions to ordinary differential equations (34D05) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

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Existence and stability of periodic motion under higher order averaging

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