The stability of parametrically forced coupled oscillators in sum resonance

DOI10.1007/BF01003557zbMath0827.70013MaRDI QIDQ1894287

Igor Hoveijn, M. Ruijgrok

Publication date: 10 August 1995

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

linear stability analysisparameter spacestability regiondiscontinuitygeometric explanationplanar stability diagramversal matrix unfolding

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Parametric resonances for nonlinear problems in mechanics (70K28)

Related Items (12)

A paradigmatic minimal system to explain the Ziegler paradox ⋮ Standard and helical magnetorotational instability ⋮ Multiple timing and spatial scaling for bifurcations ⋮ Dissipation-induced instabilities and symmetry ⋮ \({\mathcal PT}\)-symmetry, indefinite damping and dissipation-induced instabilities ⋮ Brouwer's rotating vessel. I: Stabilization ⋮ Unfolding the conical zones of the dissipation-induced subcritical flutter for the rotationally symmetrical gyroscopic systems ⋮ Potential forces and alternation of stability character in non-conservative systems ⋮ Gyroscopic stabilization in the presence of nonconservative forces ⋮ Gyroscopic stabilization in the presence of nonconservative forces ⋮ Eigenvalue bifurcation in multiparameter families of non-self-adjoint operator matrices ⋮ Global bifurcations and multi-pulse orbits of a parametric excited system with autoparametric resonance

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hopf bifurcation with non-semisimple 1:1 resonance
• Resonance in a Rigid Rotor with Elastic Support
• Averaging methods in nonlinear dynamical systems

This page was built for publication: The stability of parametrically forced coupled oscillators in sum resonance