Integrability and chaos in figure skating

DOI10.1007/s00332-019-09593-wzbMath1473.70055arXiv1809.11146OpenAlexW3106011789WikidataQ126836668 ScholiaQ126836668MaRDI QIDQ2179868

Vaughn Gzenda, Vakhtang Putkaradze

Publication date: 13 May 2020

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

Full work available at URL: https://arxiv.org/abs/1809.11146

zbMATH Keywords

integrable systemsmechanics of sportsnon-holonomic dynamics

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Constrained dynamics, Dirac's theory of constraints (70H45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

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