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On the Passage through Resonance

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Publication:3913108
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DOI10.1137/0510110zbMath0462.34038OpenAlexW2086620501MaRDI QIDQ3913108

Jan A. Sanders

Publication date: 1979

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0510110

zbMATH Keywords

asymptotic methodsresonance manifoldreentry roll resonance


Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Averaging method for ordinary differential equations (34C29) Asymptotic expansions of solutions to ordinary differential equations (34E05)


Related Items

Proof of Nishida's conjecture on anharmonic lattices, On the length of validity of averaging and the uniform approximation of elbow orbits, with an application to delayed passage through resonance, On the Asymptotic Solution of Non‐Hamiltonian Systems Exhibiting Sustained Resonance, A shadowing approach to passage through resonance, Normal form in filtered Lie algebra representations, Melnikov's method and averaging, Near-integrability of periodic Klein-Gordon lattices



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