On the dynamics of nonholonomic systems

DOI10.1016/S0034-4877(08)00005-0zbMath1184.70014OpenAlexW2082918513MaRDI QIDQ925788

Natalia Sadovskaia, Rafael O. Ramírez

Publication date: 23 May 2008

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

Full work available at URL: https://doi.org/10.1016/s0034-4877(08)00005-0

zbMATH Keywords

Hamilton's principleChaplygin systemtranspositional relationsprinciple of stationary action

Mathematics Subject Classification ID

Hamilton's principle (70H25) Nonholonomic systems related to the dynamics of a system of particles (70F25) Other variational principles in mechanics (70H30) Holonomic systems related to the dynamics of a system of particles (70F20)

Related Items (3)

Uniform projectile motion: Dynamics, symmetries and conservation laws ⋮ Cartesian approach for constrained mechanical systems with three degrees of freedom ⋮ A new approach to the vakonomic mechanics

Cites Work

• Various approaches to conservative and nonconservative nonholonomic systems
• A critique of some mathematical models of mechanical systems with differential constraints
• Mechanical systems with nonlinear constraints
• Some geometric aspects of variational calculus in constrained systems
• Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
• Exterior differential systems and the calculus of variations
• Reduction theory and the Lagrange–Routh equations
• On transpositional relations in mechanics
• On the transpositional relations in analytical mechanics of nonholonomic systems
• On the geometry of generalized Chaplygin systems
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