Reduction of Hamilton's variational principle
From MaRDI portal
Publication:4762959
DOI10.1080/713603744zbMath1003.70013OpenAlexW1988827374MaRDI QIDQ4762959
Jerrold E. Marsden, Sameer M. Jalnapurkar
Publication date: 23 January 2003
Published in: Dynamics and Stability of Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/713603744
Euler-Poincaré equationsLagrange-Poincaré equationsreduced variational principlesnon-abelian Routh reductionpreservation of momentum mapsymplectic analogue
Related Items
Characterizing the reachable set for a spacecraft with two rotors, Routh’s procedure for non-Abelian symmetry groups, A Route to Routh — The Classical Setting, Aspects of reduction and transformation of Lagrangian systems with symmetry, ROUTH REDUCTION FOR SINGULAR LAGRANGIANS, VARIATIONAL CALCULUS, SYMMETRIES AND REDUCTION, Routhian reduction for quasi-invariant Lagrangians, Routh reduction and the class of magnetic Lagrangian systems
Cites Work
- Unnamed Item
- Lin constraints, Clebsch potentials and variational principles
- The Hamiltonian structure of the Maxwell-Vlasov equations
- Reduction of Poisson manifolds
- Variational principles on principal fiber bundles: A geometric theory of Clebsch potentials and Lin constraints
- Lagrangian block diagonalization
- Stratified symplectic spaces and reduction
- Stabilization of rigid body dynamics by internal and external torques
- Lagrangian reduction and the double spherical pendulum
- Reduction of symplectic manifolds with symmetry
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- Poisson reduction for nonholonomic mechanical systems with symmetry
- Symplectic reduction for semidirect products and central extensions
- Multisymplectic geometry, variational integrators, and nonlinear PDEs
- The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems
- The Euler-Poincaré equations and double bracket dissipation
- Mechanical integrators derived from a discrete variational principle
- The null spaces of elliptic partial differential operators in R\(^n\)
- Nonholonomic mechanical systems with symmetry
- Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
- Reduction theory and the Lagrange–Routh equations
- Gauged Lie-Poisson structures
- Lectures on Mechanics
- The energy-momentum method for the stability of non-holonomic systems
- The Maxwell–Vlasov equations in Euler–Poincaré form
- Optimal Control for Holonomic and Nonholonomic Mechanical Systems with Symmetry and Lagrangian Reduction
- Persistence and smoothness of critical relative elements in Hamiltonian systems with symmetry
- Symplectic connections and the linearisation of Hamiltonian systems
- Discrete Euler-Poincaré and Lie-Poisson equations
- Discrete Routh reduction