Integral theory for the dynamics of nonlinear nonholonomic system in noninertial reference frames

DOI10.1007/BF02451705zbMath0783.70012OpenAlexW20943906MaRDI QIDQ1310542

Shao-Kai Luo

Publication date: 13 January 1994

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

Full work available at URL: https://doi.org/10.1007/bf02451705

zbMATH Keywords

energy integralfirst integralcanonical equationWhittaker equationvariation equationcyclic integralintegral invariant of Poincaré-Cartan typeRouth equation

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25)

Related Items (3)

Routh Order Reduction Method of Relativistic Birkhoffian Systems ⋮ Integrating Factors and Conservation Theorems of Nonholonomic Dynamical System of Relative Motion ⋮ Fractional generalized Hamiltonian equations and its integral invariants

Cites Work

• Extension of Whittaker equations to non-holonomic mechanical systems
• Extended Mac-Millan's equation
• Generalized Noether's theorem for nonholonomic nonpotential system in noninertial reference frames
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