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Averaging in the autoresonance model

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Publication:1886111
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DOI10.1023/A:1023226330448zbMath1065.34037OpenAlexW134944275MaRDI QIDQ1886111

Leonid A. Kalyakin

Publication date: 15 November 2004

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023226330448


zbMATH Keywords

perturbationHamiltonian systemresonanceslow and fast variable


Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Asymptotic expansions of solutions to ordinary differential equations (34E05)


Related Items (6)

Asymptotic analysis of the model of gyromagnetic autoresonance ⋮ Painlevé II equation as a model of a resonant interaction of oscillators ⋮ Capture and holding of resonance far from equilibrium ⋮ On the frequency of a nonlinear oscillator ⋮ Resonance capture in a system of two oscillators near equilibrium ⋮ Autoresonant asymptotics in an oscillating system with weak dissipation




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