Classical mechanics of a breathing top

DOI10.1016/0034-4877(85)90002-3zbMath0607.70006OpenAlexW1985021430MaRDI QIDQ1085636

Heinz Peter Berg

Publication date: 1985

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(85)90002-3

zbMATH Keywords

affinely-rigid bodybreathing topconfigurations spaceinvariant actions

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Motion of the gyroscope (70E05)

Cites Work

• The mechanics of an affinely-rigid body
• Deformable gyroscope in a non-Euclidean space classical, nonrelativistic theory
• The complete symmetry group of the one-dimensional time-dependent harmonic oscillator
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