One family of conformally Hamiltonian systems
type: Item
instance of: scholarly article
title: One family of conformally Hamiltonian systems
zbMATH Open document ID: 1282.81104
published in: Theoretical and Mathematical Physics
publication date: 2014-01-24T00:00:00Z
Mathematics Subject Classification ID: 81R12
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 6250133
zbMATH Keywords: integrable system
zbMATH Keywords: nonholonomic system
zbMATH Keywords: Chaplygin ball
zbMATH Keywords: Veselova system
author: A. V. Tsiganov
MaRDI profile type: Publication
full work available at URL: s11232-012-0128-0
OpenAlex ID: W2082622295
cites work: Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
cites work: Q5465128
cites work: Hamiltonization of the generalized Veselova LR system
cites work: Chaplygin systems associated to Cartan decompositions of semi-simple Lie groups
cites work: Hamiltonization and integrability of the Chaplygin sphere in \(\mathbb R^{n}\)
cites work: Linear almost Poisson structures and Hamilton-Jacobi equation. Applications to nonholonomic mechanics
cites work: Nonholonomic Hamilton-Jacobi theory via Chaplygin Hamiltonization
cites work: Integrable nonholonomic systems on Lie groups
cites work: Chaplygin's ball rolling problem is Hamiltonian
cites work: One invariant measure and different Poisson brackets for two non-holonomic systems
cites work: Q4425645
cites work: Complete involutive algebras of functions on cotangent bundles of homogeneous spaces
cites work: Q5385322
cites work: Magnetic flows on homogeneous spaces
cites work: The Stäckel systems and algebraic curves
cites work: INTEGRABLE CASES OF THE DYNAMICS OF A RIGID BODY, AND INTEGRABLE SYSTEMS ON THE SPHERESSn
cites work: Integrable one-particle potentials related to the Neumann system and the Jacobi problem of geodesic motion on an ellipsoid.
cites work: Integrable Euler top and nonholonomic Chaplygin ball
DOI: 10.1007/S11232-012-0128-0
description: scientific article; zbMATH DE number 6250133