Hamilton–Jacobi theory for degenerate Lagrangian systems with holonomic and nonholonomic constraints
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Publication:2865541
DOI10.1063/1.4736733zbMath1277.70022arXiv1109.6056OpenAlexW2008734228MaRDI QIDQ2865541
Tomoki Ohsawa, Melvin Leok, Diana Sosa
Publication date: 29 November 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.6056
Hamilton-Jacobi equationholonomic and nonholonomic constraintsdegenerate LagrangiansChaplygin systems
Constrained dynamics, Dirac's theory of constraints (70H45) Hamilton-Jacobi equations in mechanics (70H20) Nonholonomic systems related to the dynamics of a system of particles (70F25) Nonholonomic dynamical systems (37J60)
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Cites Work
- Unnamed Item
- Unnamed Item
- Nonholonomic Hamilton-Jacobi theory via Chaplygin Hamiltonization
- Linear almost Poisson structures and Hamilton-Jacobi equation. Applications to nonholonomic mechanics
- Variational and geometric structures of discrete Dirac mechanics
- \(G\)-Chaplygin systemswith internal symmetries, truncation, and an (almost) symplecticview of Chaplygin's ball
- Dirac cotangent bundle reduction
- Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems
- Dirac structures in Lagrangian mechanics. II: Variational structures
- Reduction of degenerate Lagrangian systems
- Nonholonomic problems and the theory of distributions
- Reduction of some classical non-holonomic systems with symmetry
- Implicit Hamiltonian systems with symmetry
- Nonholonomic reduction
- Mechanical systems with nonlinear constraints
- The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems
- On the Hamilton-Jacobi equation for second-class constrained systems.
- Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
- Gauge equivalence of Dirac structures and symplectic groupoids
- Nonholonomic Hamilton-Jacobi equation and integrability
- Generalized Hamiltonian dynamics
- Discrete mechanics and variational integrators
- GEOMETRIC HAMILTON–JACOBI THEORY
- Symplectic integration of Hamiltonian systems
- GEOMETRIC HAMILTON–JACOBI THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS
- Presymplectic manifolds and the Dirac–Bergmann theory of constraints
- Ideal vortex motion in two dimensions: Symmetries and conservation laws
- On Representations and Integrability of Mathematical Structures in Energy-Conserving Physical Systems
- A constraint algorithm for singular Lagrangians subjected to nonholonomic constraints
- Oscillations, SE(2)-snakes and motion control: A study of the Roller Racer
- Reduction of constrained systems with symmetries
- On the geometry of non-holonomic Lagrangian systems
- Variational calculus with constraints on general algebroids
- Dirac Structures and the Legendre Transformation for Implicit Lagrangian and Hamiltonian Systems
- Towards a Hamilton–Jacobi theory for nonholonomic mechanical systems
- Foundations of Quantum Mechanics
- Discrete Dirac Structures and Implicit Discrete Lagrangian and Hamiltonian Systems
- Generalized Hamiltonian Dynamics
