The construction of a Poisson structure out of a symmetry and a conservation law of a dynamical system
From MaRDI portal
Publication:4227648
DOI10.1088/0305-4470/29/3/017zbMath0924.58022OpenAlexW2138735913MaRDI QIDQ4227648
Publication date: 9 November 1999
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/29/3/017
Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)
Related Items
A constant of motion in 3D implies a local generalized Hamiltonian structure, Bi-Hamiltonian partially integrable systems, Introducing randomness into first-order and second-order deterministic differential equations, Quasi-Hamiltonian structure and Hojman construction, Geometrical aspects of the hamiltonization problem of dynamical systems, Symmetries and reduction in nonholonomic mechanics, The Hojman construction and hamiltonization of nonholonomic systems, A time-extended Hamiltonian formalism, A constant of motion in 3D implies a local generalized Hamiltonian structure., Generalization of solutions of the Jacobi PDEs associated to time reparametrizations of Poisson systems, DYNAMICS DETERMINES GEOMETRY, New solutions of the Jacobi equations for three-dimensional Poisson structures, Characterization and global analysis of a family of Poisson structures, One solution of the 3D Jacobi identities allows determining an infinity of them, Bi-Hamiltonian structure and homoclinic orbits of the Maxwell--Bloch equations with RWA, Simple evaluation of Casimir invariants in finite-dimensional Poisson systems, Nonstandard approach to gravity for the dark sector of the universe, Invariants of homogeneous ordinary differential equations, Construction of Lagrangian and Hamiltonian structures starting from one constant of motion
