The conservation law of nonholonomic system of second-order non-Chetaev's type in event space

DOI10.1007/BF02437734zbMath1039.70009OpenAlexW2123509928MaRDI QIDQ1611490

Jian-Hui Fang

Publication date: 21 October 2002

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02437734

zbMATH Keywords

generatorsinfinitesimal transformationJourdain's principle

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)

Herglotz-type principle and first integrals for nonholonomic systems in phase space ⋮ Form invariance and Lie symmetry of variable mass nonholonomic mechanical system ⋮ Noether's theorem and its inverse of Birkhoffian system in event space based on Herglotz variational problem

Cites Work

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• Noether's theory of Vacco dynamics
• A study of conservation laws of dynamical systems by means of the differential variational principles of Jourdain and Gauss
• Generalized Noether theorems in canonical formalism for field theories and their applications
• Conservation laws of dynamical systems via d'Alembert's principle
• Parametric equations of nonholonomic nonconservative systems in the event space and the method of their integration
• Conservation laws of nonholonomic nonconservative dynamical systems

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