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Stability of equilibrium of a heavy particle on a rotating surface

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Publication:1233335
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DOI10.1007/BF01591177zbMath0345.70001MaRDI QIDQ1233335

Oene Bottema

Publication date: 1976

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



Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Stability for problems in linear vibration theory (70J25)


Related Items (9)

Proof of stability in the Brower-Paul problem ⋮ A Coriolis force in an inertial frame ⋮ \({\mathcal PT}\)-symmetry, indefinite damping and dissipation-induced instabilities ⋮ Brouwer's problem on a heavy particle in a rotating vessel: Wave propagation, ion traps, and rotor dynamics ⋮ Geometry of escape and transition dynamics in the presence of dissipative and gyroscopic forces in two degree of freedom systems ⋮ Brouwer's rotating vessel. I: Stabilization ⋮ A parabolic Chaplygin pendulum and a Paul trap: nonintegrability, stability, and boundedness ⋮ A nonholonomic model of the Paul trap ⋮ Exceptional and diabolical points in stability questions



Cites Work

  • Stabilitätsprobleme bei geraden Stäben und Wellen




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