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Approximate asymptotics for a nonlinear Mathieu equation using harmonic balance based averaging

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Publication:1419486
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DOI10.1023/A:1023293901305zbMath1062.70597MaRDI QIDQ1419486

Glomin Thomas Abraham, Anindya Chatterjee

Publication date: 14 January 2004

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


zbMATH Keywords

averagingharmonic balancenonlinear Mathieu equationPaul traps


Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) General perturbation schemes for nonlinear problems in mechanics (70K60)


Related Items (7)

Integrable modulation, curl forces and parametric Kapitza equation with trapping and escaping ⋮ Homoclinic bifurcation and chaos control in MEMS resonators ⋮ Damped equations of Mathieu type ⋮ Existence of periodic solutions for the generalized form of Mathieu equation ⋮ Generalized Parametric Resonance ⋮ On the properties of a class of higher-order Mathieu equations originating from a parametric quantum oscillator ⋮ Temporal homogenization of linear ODEs, with applications to parametric super-resonance and energy harvest




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