Iterated averaging for periodic systems with hidden multi-scale slow times

DOI10.2140/PJM.1984.112.211zbMath0505.34035OpenAlexW1989565958MaRDI QIDQ1836031

Stephen C. Persek

Publication date: 1984

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1984.112.211

zbMATH Keywords

Hopf bifurcationsbifurcationscenter manifoldgeneral asymptotic methodsglobal motion in multi-oscillatory systemsmixed scale motion

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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Conditional stability for periodic solutions of periodic systems containing a small parameter ⋮ Modification via averaging of partial-energy-shaping control for creating oscillations: cart-pendulum example

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