Rigid motions: Action-angles, relative cohomology and polynomials with roots on the unit circle

DOI10.1063/1.4794089zbMath1282.70006arXiv1202.2741OpenAlexW3102041336MaRDI QIDQ5397767

Jean-Pierre Françoise, Giovanni Gallavotti, Pedro L. Garrido

Publication date: 24 February 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2741

Mathematics Subject Classification ID

Motion of the gyroscope (70E05)

Related Items (2)

Self-inversive Hilbert space operator polynomials with spectrum on the unit circle ⋮ INVERSION OF A MAPPING ASSOCIATED WITH THE AOMOTO–FORRESTER SYSTEM

Cites Work

• Canonical partition function of Hamiltonian systems and the stationary phase formula
• Band asymptotics in two dimensions
• The successive derivatives of the period function of a plane vector field
• On the polynomials with all their zeros on the unit circle
• On the calculation of an integral
• The action-angle variables in the Euler-Poinsot problem
• Successive derivatives of a first return map, application to the study of quadratic vector fields
• Pendulum, elliptic functions, and relative cohomology classes

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