Search engine for discovering works of Art, research articles, and books related to Art and Culture
ShareThis
Javascript must be enabled to continue!

On a cotangent form of a nonholonomic lagrangian dynamics

View through CrossRef
A Lagrangian form of dynamic equations for nonlinear nonholonomic constraints was studied by the first author in a previous paper. The aim of this paper is to put these equations in a cotangent form, according to some regularity conditions. It is particularized as an example to a decelerated motion of a free particle, when some dual simple equations are obtained.
Title: On a cotangent form of a nonholonomic lagrangian dynamics
Description:
A Lagrangian form of dynamic equations for nonlinear nonholonomic constraints was studied by the first author in a previous paper.
The aim of this paper is to put these equations in a cotangent form, according to some regularity conditions.
It is particularized as an example to a decelerated motion of a free particle, when some dual simple equations are obtained.

Related Results

Lagrangian versus Eulerian spectral estimates of surface kinetic energy over the global ocean
Lagrangian versus Eulerian spectral estimates of surface kinetic energy over the global ocean
In this study, we carried out a novel massive Lagrangian simulation experiment derived from a global 1/48° tide-resolving numerical simulation of the ocean circulation. This first-...
Voltage control strategy for an uncertain mobile robot
Voltage control strategy for an uncertain mobile robot
Purpose – The uncertainty and nonlinearity are the challenging problems for the control of a nonholonomic wheeled mobile robot. To overcome these problems, many val...
Stabilizing a Class of Switched Nonholonomic Mechanical Systems
Stabilizing a Class of Switched Nonholonomic Mechanical Systems
Structurally reconfigurable or variant robot systems can provide better mobility and environmental adaptability. In this paper it is shown that a class of nonholonomic constraints ...
Monge–Ampère geometry and vortices
Monge–Ampère geometry and vortices
Abstract We introduce a new approach to Monge–Ampère geometry based on techniques from higher symplectic geometry. Our work is motivated by the application of Monge–...
A mixed total Lagrangian-updated Lagrangian Smoothed Particles Hydrodynamics method for geomechanics simulations with discontinuities
A mixed total Lagrangian-updated Lagrangian Smoothed Particles Hydrodynamics method for geomechanics simulations with discontinuities
This study presents a novel approach for simulating geotechnical problems including the initiation and post-failure behavior of discontinuities. The developed method is constituted...
Lagrangian coherent track initialization
Lagrangian coherent track initialization
Advances in time-resolved three-dimensional Particle Tracking Velocimetry (4D-PTV) techniques have consistently revealed more accurate Lagrangian particle motions. A novel track in...
Dual Lagrangian field theories
Dual Lagrangian field theories
We investigate how, under suitable regularity conditions, first-order Lagrangian field theories can be recasted in terms of a second-order Lagrangian, called the dual Lagrangian of...
Grassmann variables and pseudoclassical Nuclear Magnetic Resonance
Grassmann variables and pseudoclassical Nuclear Magnetic Resonance
The concept of a propagator is useful and is a well-known object in diffusion NMR experiments. Here, we investigate the related concept; the propagator for the magnetization or the...

Back to Top