Reduction and reconstruction of the dynamics of nonholonomic systems

DOI10.1088/0305-4470/32/49/304zbMath0965.70023OpenAlexW2079245648MaRDI QIDQ4947928

Jorge Cortés, Manuel de León

Publication date: 25 April 2000

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

Full work available at URL: https://semanticscholar.org/paper/fd39d7e033c82f3f44807b8ed2fdfadcdc9d6d71

zbMATH Keywords

reductionreconstructionconstrained Hamiltonian systemsChaplygin systemsnonholonomic systems with symmetrynonholonomic bracketsnonholonomic mappings

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) 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) Nonholonomic dynamical systems (37J60)

Related Items

AN ELEMENTAL OVERVIEW OF THE NONHOLONOMIC NOETHER THEOREM ⋮ GEOMETRIC HAMILTON–JACOBI THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS ⋮ Variational development of the semi-symplectic geometry of nonholonomic mechanics ⋮ THE CARTAN FORM FOR CONSTRAINED LAGRANGIAN SYSTEMS AND THE NONHOLONOMIC NOETHER THEOREM ⋮ Reduction of a Hamilton-Jacobi equation for nonholonomic systems ⋮ Symmetries, constants of the motion, and reduction of mechanical systems with external forces ⋮ Nonintegrability of the Suslov problem ⋮ Cosymplectic reduction of constrained systems with symmetry