Hamiltonian systems with constraints and their meaning in mechanics
From MaRDI portal
Publication:1084723
DOI10.1007/BF00282337zbMath0606.58024MaRDI QIDQ1084723
Publication date: 1986
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)
Related Items
Nonholonomic mechanical systems with symmetry ⋮ On the geometry of non-holonomic Lagrangian systems ⋮ Historical and critical review of the development of nonholonomic mechanics: the classical period ⋮ Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems ⋮ Time-dependent Lagrangian systems: A geometric approach to the theory of systems with constraints ⋮ The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems ⋮ Jet methods in nonholonomic mechanics ⋮ The constraint algorithm for time-dependent Lagrangians ⋮ A historical review on nonholomic mechanics ⋮ Unnamed Item ⋮ Nonlinear nonholonomic systems: a simple approach and various examples ⋮ Gauge momenta as Casimir functions of nonholonomic systems ⋮ Reduction of some classical non-holonomic systems with symmetry ⋮ Stabilizability of nonholonomic control systems ⋮ A generalized geometric framework for constrained systems ⋮ On the equations of motion in constrained multibody dynamics ⋮ Higher-order mechanical systems with constraints ⋮ On classical mechanical systems with nonlinear constraints ⋮ Critical manifolds and stability in Hamiltonian systems with nonholonomic constraints ⋮ Gauge transformations, twisted Poisson brackets and Hamiltonization of nonholonomic systems ⋮ Affine connections and distributions with applications to nonholonomic mechanics ⋮ Reduced equations for nonholonomic mechanical systems with dissipative forces ⋮ Nonholonomic reduction
Cites Work
- Analytical dynamics of discrete systems
- Eine alternative Herleitung der Euler-Hamiltonschen Gleichungen der Mechanik
- Symplectic manifolds and their Lagrangian submanifolds
- Generalized Hamiltonian dynamics
- Nonholonomic Constraints
- Generalized Hamiltonian Dynamics
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Hamiltonian systems with constraints and their meaning in mechanics
