Equilibria of plane convex bodies

DOI10.1007/s00332-021-09740-2zbMath1479.52004arXiv1909.05900OpenAlexW3198050153MaRDI QIDQ2230557

Jonas Allemann, Norbert Hungerbühler, Micha Wasem

Publication date: 24 September 2021

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.05900

zbMATH Keywords

winding numberconvex bodiesevolutestatic equilibrianon-horizontal

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Stability problems in rigid body dynamics (70E50)

Cites Work

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• Static equilibria of rigid bodies: Dice, pebbles, and the Poincaré-Hopf theorem
• Static equilibria of planar, rigid bodies: Is there anything new?
• Non-integer valued winding numbers and a generalized residue theorem
• An integral that counts the zeros of a function
• The Four-or-More Vertex Theorem

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