Approximate Birkhoffian formulations for nonconservative systems

DOI10.1016/S0034-4877(18)30031-4zbMath1402.37073OpenAlexW2802033159WikidataQ129837507 ScholiaQ129837507MaRDI QIDQ1626293

Li-Li Xia, Wen-An Jiang

Publication date: 27 November 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(18)30031-4

zbMATH Keywords

perturbation methodnonconservative systemsapproximate formulaBirkhoffian formulations

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Symmetries and conservation laws in mechanics of particles and systems (70S10)

Cites Work

• Unnamed Item
• Unnamed Item
• Noether symmetries and conserved quantities for fractional Birkhoffian systems
• Conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms
• Lie symmetrical perturbation and a new type of non-Noether adiabatic invariants for disturbed generalized Birkhoffian systems
• Perturbation to symmetry and adiabatic invariants of discrete nonholonomic nonconservative mechanical system
• From classical mechanics with doubled degrees of freedom to quantum field theory for nonconservative systems
• Euler-Lagrange equation from nonlocal-in-time kinetic energy of nonconservative system
• On the Birkhoffian mechanics
• Poincaré-Cartan integral invariants of Birkhoffian systems
• Poincaré bifurcation in second-order autonomous perturbed Birkhoff system
• Perturbation to Noether symmetries and adiabatic invariants for disturbed Hamiltonian systems based on El-Nabulsi nonconservative dynamics model
• Perturbation of symmetries of rotational relativistic Birkhoffian systems and its inverse problem
• Nonlinear connections for nonconservative mechanical systems
• Stability for manifolds of the equilibrium state of fractional Birkhoffian systems
• Non-standard stochastic averaging of large-amplitude ship rolling in random seas
• Birkhoffian formulations of nonholonomic constrained systems