On Hopf bifurcation in the problem of motion of a heavy particle on a rotating sphere: the viscous friction case

DOI10.1007/S00707-019-02536-2zbMath1431.74060OpenAlexW2981772725WikidataQ126990203 ScholiaQ126990203MaRDI QIDQ2302079

Alexander S. Kuleshov, Alois Steindl, Ekaterina S. Shalimova

Publication date: 25 February 2020

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-019-02536-2

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Uses Software

• Pasimodo

Cites Work

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• Comparison between two different mesh descriptions used for simulation of sieving processes
• Unilaterality and dry friction: A geometric formulation for two-dimensional rigid body dynamics
• Bifurcations of the relative equilibria of a heavy bead on a rotating hoop with dry friction
• On bifurcations of relative equilibria of a heavy bead sliding with dry friction on a rotating circle
• The movement of a disc on a rotating horizontal plane with dry friction
• Steady and periodic modes in the problem of motion of a heavy material point on a rotating sphere (the viscous friction case)
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Elements of applied bifurcation theory

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