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Geometric mechanics on nonholonomic submanifolds
is a submanifold in a jet bundle, and a nonholonomic system is modelled as an exterior of nonholonomic systems on constraint manifolds and their geometric meaning, a nonholonomicIn this survey article,
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Nonconservative mechanical systems with nonholonomic constraints
form of the nonholonomic Hamiltonian equations for nonconservative systems.A geometric setting for generally nonconservative mechanical systems on fibred manifolds is proposed. Emphasis is put on an explicit formulation of...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the inverse variational problem in nonholonomic mechanics
of a recently discovered nonholonomic variational principle. Variational properties of rst order mechanical systems with general nonholonomic constraints are studied representative in the class of 2-forms determining the <...
BE - Teoretická fyzika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Uniform projectile motion: dynamics, symmetries and conservation laws
laws of the considered system are studied, the nonholonomic formulation first integrals of this nonholonomic system.A geometric nonholonomic theory is applied to the problem of uniform projectile paramete...
BA - Obecná matematika
- 2014 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Exact Linearization of Nonholonomic System Dynamics Applied to Control of Differentially Driven Soccer Robot
This paper describes the dynamic modeling of nonholonomic system for control purposes. The equations of motion together with nonholonomic constraint are reduced into system of five 1st order equations. Further, the...
JD - Využití počítačů, robotika a její aplikace
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Symmetries and currents in nonholonomic mechanics
symmetries of a rst order non-holonomic mechanical system and the corresponding currents, i.e. functions constant along trajectories of the nonholonomic system of nonholonomic constrained systems on bred ...
BE - Teoretická fyzika
- 2014 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Nonholonomic mechanics
An introduction to the geometrical theory of mechanical systems subject to nonholonomic constraints is presented.
BA - Obecná matematika
- 2011 •
- D
Rok uplatnění
D - Stať ve sborníku
On the nonholonomic variational principle
A variational principle for the first order mechanical systems subjected to general nonholonomic constraints is presented, providing the (reduced) nonholonomic motion equations in a form of constraint Euler--Lagrange equati...
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
Invariant nonholonomic Riemannian structures on three-dimensional Lie groups
We consider Riemannian manifolds endowed with a nonholonomic distribution. These structures model mechanical systems with a (positive definite) quadratic Lagrangian and nonholonomic constraints linear in velocities. We clas...
BA - Obecná matematika
- 2016 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Several examples of nonholonomic mechanical systems
An unified geometric approach to nonholonomic constrained mechanical systems is applied to several concrete problems from the classical mechanics of particles, the corresponding constrained mechanical system is modelled on ...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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