Simple evaluation of Casimir invariants in finite-dimensional Poisson systems
From MaRDI portal
Publication:5917997
DOI10.1016/S0375-9601(98)00125-XzbMath0945.70517OpenAlexW2015601452MaRDI QIDQ5917997
Benito Hernández-Bermejo, Víctor Fairén
Publication date: 8 March 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0375-9601(98)00125-x
Hamilton's equations (70H05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)
Related Items (5)
Stability problems for Chua system with one linear control ⋮ Congruence method for global Darboux reduction of finite-dimensional Poisson systems ⋮ Hamilton-Poisson realizations for the Lü system ⋮ Revisiting parallel car parking problem ⋮ Some new remarks about the dynamics of an automobile with two trailers
Cites Work
- Unnamed Item
- Hamiltonian chaos in nonlinear optical polarization dynamics
- The local structure of Poisson manifolds
- Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity
- Lie-Poisson description of Hamiltonian ray optics
- A constant of motion in 3D implies a local generalized Hamiltonian structure
- Multiple Lie-Poisson structures, reductions, and geometric phases for the Maxwell-Bloch travelling wave equations
- On the generalized Hamiltonian structure of 3D dynamical systems
- Nonlinear stability of fluid and plasma equilibria
- Hamiltonian perturbation theory in noncanonical coordinates
- A guiding center Hamiltonian: A new approach
- A simple model of the integrable Hamiltonian equation
- The construction of a Poisson structure out of a symmetry and a conservation law of a dynamical system
- Poisson structure of dynamical systems with three degrees of freedom
- Bi-Hamiltonian systems and Lotka - Volterra equations: a three-dimensional classification
- Hamiltonian structures for the n-dimensional Lotka–Volterra equations
- Generalized Hamiltonian structures for systems in three dimensions with a rescalable constant of motion
- Quantum algebras in classical mechanics
This page was built for publication: Simple evaluation of Casimir invariants in finite-dimensional Poisson systems