On the start-up behavior and steady-state oscillation of singularly perturbed harmonic oscillators

DOI10.1007/s11071-006-2001-xzbMath1101.78007OpenAlexW1996531228MaRDI QIDQ2432352

Wolfgang Mathis, Marcus Prochaska

Publication date: 25 October 2006

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-006-2001-x

zbMATH Keywords

singular perturbationsbifurcation analysismultiple time scalessinusoidal oscillations

Mathematics Subject Classification ID

Technical applications of optics and electromagnetic theory (78A55) Analytic circuit theory (94C05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (1)

On the start-up behavior and steady-state oscillation of singularly perturbed harmonic oscillators

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Applications of centre manifold theory
• On the start-up behavior and steady-state oscillation of singularly perturbed harmonic oscillators
• Normal forms near critical points for differential equations and maps
• Singularly perturbed Hopf bifurcation
• The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
• On the Application of Integral Manifolds to Hopf Bifureaction

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