Poincaré-Cartan integral variants and invariants of nonholonomic constrained systems

DOI10.1023/A:1017565805424zbMath0997.70012OpenAlexW53404466MaRDI QIDQ5943134

Yong-Xin Guo, Feng-Xiang Mei, Shao-Kai Luo, Mei Shang

Publication date: 20 November 2002

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1017565805424

zbMATH Keywords

Lagrangiansymplectic structureconstraint submanifoldd'Alembert-Lagrange principleintegral invariantsintegral variant of Poincaré-Cartan's typenonconservative forcesnonholonomic constrained systems

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (3)

Poincaré-Cartan integral invariants of Birkhoffian systems ⋮ Influence of nonholonomic constraints on variations, symplectic structure, and dynamics of mechanical systems ⋮ Nonholonomic versus vakonomic dynamics on a Riemann–Cartan manifold

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