Resonance-sensitivity in dynamic Hopf bifurcations under fluid loading

DOI10.1016/0307-904X(81)90036-6zbMath0489.73053MaRDI QIDQ1166973

J. M. T. Thompson, T. S. Lunn

Publication date: 1981

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationfluttergallopingimperfection sensitivitydynamic bifurcationsdynamic instabilitiessteady fluid loading

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stability of dynamical problems in solid mechanics (74H55)

Related Items

Michael Thompson: his seminal contributions to nonlinear dynamics -- and beyond ⋮ An introduction to nonlinear dynamics ⋮ Stationary states of dissipative quantum systems

Cites Work

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• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Towards a unified bifurcation theory
• Bifurcations of the forced van der Pol oscillator
• Introduction to Non-Linear Mechanics. (AM-11)