Parametric resonance in systems with small dissipation

DOI10.1016/S0021-8928(01)00081-8zbMath1051.70533OpenAlexW2001392303MaRDI QIDQ4802861

Alexander P. Seyranian, Alexei A. Mailybaev

Publication date: 23 April 2003

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8928(01)00081-8

zbMATH Keywords

parametric resonanceweakly dissipative systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability for problems in linear vibration theory (70J25) Parametric resonances in linear vibration theory (70J40)

Related Items (4)

Averaging in vibration suppression by parametric stiffness excitation ⋮ Paradox of Nicolai and related effects ⋮ The swing: Parametric resonance ⋮ Damping by Parametric Stiffness Excitation: Resonance and Anti-Resonance

Cites Work

• Stability analysis for multi-parameter linear periodic systems
• On the boundaries of the parametric resonance domain
• Remarks on the perturbation theory for problems of Mathieu type
• Simple and combination resonances of columns under periodic axial loads
• Further Results on Parametric Excitation of a Dynamic System
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