Paradoxes of dissipation-induced destabilization or who opened Whitney's umbrella?

DOI10.1002/zamm.200900315zbMath1241.70014arXiv0906.1650OpenAlexW3106046485MaRDI QIDQ3566723

Ferdinand Verhulst, Oleg N. Kirillov

Publication date: 9 June 2010

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.1650

zbMATH Keywords

Whitney's umbrelladestabilization paradoxZiegler's pendulumDissipation-induced instabilities

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Parametric resonances for nonlinear problems in mechanics (70K28) Motion of a rigid body with a fixed point (70E17) Stability theory for manifolds (58K25)

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Cites Work

• Subcritical flutter in the acoustics of friction

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