Recent results in the geometry of constrained systems

DOI10.1016/S0034-4877(02)80025-8zbMath1018.37041OpenAlexW2046101453MaRDI QIDQ1853819

Olga Krupková

Publication date: 22 January 2003

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

Full work available at URL: https://doi.org/10.1016/s0034-4877(02)80025-8

zbMATH Keywords

Hamiltonian systemsnonholonomic constraintsconstrained Lagrangian systemsLepage class

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Constrained dynamics, Dirac's theory of constraints (70H45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Inverse problems for systems of particles (70F17) Lagrange's equations (70H03) Nonholonomic dynamical systems (37J60)

Related Items (8)

Nonholonomic variational systems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Uniform projectile motion: Dynamics, symmetries and conservation laws ⋮ Symmetry and conservation laws in non-holonomic mechanics ⋮ Partial differential equations with differential constraints ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems
• Jet methods in nonholonomic mechanics
• Mechanical systems with nonholonomic constraints
• A geometrical framework for the study of non-holonomic Lagrangian systems: II
• The relativistic particle as a mechanical system with non-holonomic constraints
• Non-holonomic Lagrangian systems in jet manifolds
• A geometrical framework for the study of non-holonomic Lagrangian systems
• Regularity aspects and Hamiltonization of non-holonomic systems
• Higher-order mechanical systems with constraints

This page was built for publication: Recent results in the geometry of constrained systems