The method of variation on parameters for integration of a generalized Birkhoffian system

DOI10.1007/s10409-011-0494-0zbMath1293.70004OpenAlexW2098558353MaRDI QIDQ399622

Yi Zhang

Publication date: 19 August 2014

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10409-011-0494-0

zbMATH Keywords

nonholonomic constraintBirkhoffian systemnonconservative systemmethod of integrationvariation on parameter

Mathematics Subject Classification ID

Experimental work for problems pertaining to mechanics of particles and systems (70-05) Nonholonomic systems related to the dynamics of a system of particles (70F25)

Related Items (3)

Lie symmetry and invariants for a generalized Birkhoffian system on time scales ⋮ Noether-type conserved quantities on time scales for Birkhoffian systems with delayed arguments ⋮ Mei symmetry and new conserved quantities of time-scale Birkhoff's equations

Cites Work

• Time-integral theorems for nonholonomic systems
• Noether's theorem and its inverse of nonholonomic nonconservative dynamical systems
• A field method and its application to the theory of vibrations
• On a gradient method in nonconservative mechanics
• Noether's theory in classical nonconservative mechanics
• The Noether's theory of Birkhoffian systems
• On the integration methods of nonholonomic dynamics
• On the integration theory of equations of nonholonomic mechanics
• Dynamical symmetries and conserved quantities
• A new conservation law constructed without using either Lagrangians or Hamiltonians
• Classical Dynamics
• Jacobi’s last multiplier and Lagrangians for multidimensional systems
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