Symplectic Schemes for Birkhoffian System

DOI10.1088/0253-6102/41/3/329zbMath1167.37379arXivmath-ph/0301001OpenAlexW3101333858MaRDI QIDQ5321269

Hongling Su, Meng-Zhao Qin

Publication date: 22 July 2009

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0301001

zbMATH Keywords

symplectic structuregenerating function methodBirkhoffian systemsymplectic scheme

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Hamilton's equations (70H05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (9)

Energy/dissipation-preserving birkhoffian multi-symplectic methods for Maxwell's equations with dissipation terms ⋮ Structure-preserving numerical methods for infinite-dimensional Birkhoffian systems ⋮ Structure-preserving recurrent neural networks for a class of Birkhoffian systems ⋮ Lie symmetrical perturbation and a new type of non-Noether adiabatic invariants for disturbed generalized Birkhoffian systems ⋮ Structure-preserving algorithms for Birkhoffian systems ⋮ Almost structure-preserving analysis for weakly linear damping nonlinear Schrödinger equation with periodic perturbation ⋮ Stability for manifolds of the equilibrium state of fractional Birkhoffian systems ⋮ Symplectic central difference scheme for quasi-linear autonomous Birkhoffian systems ⋮ Fractional Birkhoffian mechanics

This page was built for publication: Symplectic Schemes for Birkhoffian System