Variational integrators for forced Birkhoffian systems

DOI10.1016/J.AMC.2013.09.045zbMath1334.70033OpenAlexW2064863763MaRDI QIDQ275744

Xinlei Kong, Hui-bin Wu, Feng-Xiang Mei

Publication date: 26 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.09.045

zbMATH Keywords

variational integratordiscrete forced Birkhoffian equationsPfaff-Birkhoff-D'alembert principle

Mathematics Subject Classification ID

Other variational principles in mechanics (70H30)

Related Items (6)

Noether symmetries and conserved quantities for fractional forced Birkhoffian systems ⋮ A class of structure-preserving discontinuous Galerkin variational time integrators for Birkhoffian systems ⋮ Variational integrators for fractional Birkhoffian systems ⋮ Non-standard Birkhoffian dynamics and its Noether's theorems ⋮ Theory of generalized canonical transformations for Birkhoff systems ⋮ Symplectic central difference scheme for quasi-linear autonomous Birkhoffian systems

Cites Work

• Lie symmetrical perturbation and a new type of non-Noether adiabatic invariants for disturbed generalized Birkhoffian systems
• The Noether's theory of Birkhoffian systems
• Mechanical integrators derived from a discrete variational principle
• Discrete mechanics and variational integrators
• Structure-preserving algorithms for Birkhoffian systems
• Structure-preserving algorithms for Birkhoffian systems
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Variational integrators for forced Birkhoffian systems