Equivalence of dynamics for nonholonomic systems with transverse constraints

DOI10.1023/A:1022667307485zbMath0923.70011OpenAlexW196299715MaRDI QIDQ1272715

Marco Favretti

Publication date: 11 April 1999

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022667307485

zbMATH Keywords

foliationnonintegrable constraintsconstrained system with symmetrynonholonomic variational formulationnonholonomic variational reduced equationsprincipal bundle fibration

Mathematics Subject Classification ID

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

Related Items (12)

The dynamics of systems with servoconstraints. II ⋮ Nonholonomic and constrained variational mechanics ⋮ Influence of nonholonomic constraints on variations, symplectic structure, and dynamics of mechanical systems ⋮ A geometric approach to the transpositional relations in dynamics of nonholonomic mechanical systems ⋮ Hamilton–Jacobi equations for nonholonomic dynamics ⋮ Anholonomic frames in constrained dynamics ⋮ Symmetries in vakonomic dynamics: Applications to optimal control ⋮ A fiber bundle approach to the transpositional relations in nonholonomic mechanics ⋮ A new approach to the vakonomic mechanics ⋮ A comparison of vakonomic and nonholonomic dynamics with applications to non-invariant Chaplygin systems ⋮ Poincaré transformations in nonholonomic mechanics ⋮ Complete inequivalence of nonholonomic and vakonomic mechanics

This page was built for publication: Equivalence of dynamics for nonholonomic systems with transverse constraints