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Updated: April 5th, 2024 03:20

2023 journal article

Discrete Hamiltonian Variational Mechanics and Hamel's Integrators

*JOURNAL OF NONLINEAR SCIENCE*, *33*(2).

author keywords: Exact integrators; Hamel's equations; Nonholonomic systems; Momentum; Symmetry

Source: Web Of Science

Added: January 30, 2023

2023 article

Discrete Hamiltonian Variational Mechanics and Hamel's Integrators (vol 33, 26, 2023)

Gao, S., Shi, D., & Zenkov, D. V. (2023, April). *JOURNAL OF NONLINEAR SCIENCE*, Vol. 33.

Source: Web Of Science

Added: March 20, 2023

2020 journal article

A Variational Integrator for the Chaplygin-Timoshenko Sleigh

*JOURNAL OF NONLINEAR SCIENCE*, *30*(4), 1381–1419.

Source: Web Of Science

Added: July 6, 2020

2020 journal article

Hamel's Formalism for Classical Field Theories

*JOURNAL OF NONLINEAR SCIENCE*, *30*(4), 1307–1353.

author keywords: Hamel's equations; Nonholonomic systems; Momentum; Symmetry

Source: Web Of Science

Added: July 6, 2020

2016 journal article

Hamel's Formalism for Infinite-Dimensional Mechanical Systems

*JOURNAL OF NONLINEAR SCIENCE*, *27*(1), 241–283.

author keywords: Hamel equations; Nonholonomic constraints; Momentum; Symmetry

Source: Web Of Science

Added: August 6, 2018

2016 journal article

ON HAMEL'S EQUATIONS

*THEORETICAL AND APPLIED MECHANICS*, *43*(2), 191–220.

author keywords: infinite-dimensional mechanics; nonholonomic constraints; variational integrators

TL;DR:
This paper reviews recent results on the extension of Hame’s formalism to infinite-dimensional mechanical systems and to variational integrators and considers applications to the dynamics and numerical integration of systems with velocity constraints.
(via Semantic Scholar)

Source: Web Of Science

Added: August 6, 2018

2015 article

The Helmholtz Conditions and the Method of Controlled Lagrangians

*INVERSE PROBLEM OF THE CALCULUS OF VARIATIONS: LOCAL AND GLOBAL THEORY*, pp. 1–29.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2015 book

The inverse problem of the calculus of variations: Local and global theory

Source: NC State University Libraries

Added: August 6, 2018

2014 journal article

The geometry and integrability of the Suslov problem

*JOURNAL OF MATHEMATICAL PHYSICS*, *55*(11).

Source: Web Of Science

Added: August 6, 2018

2012 journal article

A Fiber Bundle Approach to the Transpositional Relations in Nonholonomic Mechanics

*JOURNAL OF NONLINEAR SCIENCE*, *22*(4), 431–461.

author keywords: Geometric mechanics; Constrained dynamics; Variational principles

Source: Web Of Science

Added: August 6, 2018

2012 conference paper

Hamel's formalism and variational integrators on a sphere

*2012 ieee 51st annual conference on decision and control (cdc)*, 7504–7510.

Source: NC State University Libraries

Added: August 6, 2018

2011 journal article

Nonholonomic Hamilton-Jacobi theory via Chaplygin Hamiltonization

*JOURNAL OF GEOMETRY AND PHYSICS*, *61*(8), 1263–1291.

author keywords: Nonholonomic mechanics; Hamilton-Jacobi theory; Reduction; Hamiltonization

Source: Web Of Science

Added: August 6, 2018

2009 journal article

Quasivelocities and symmetries in non-holonomic systems

*DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL*, *24*(2), 187–222.

author keywords: Hamel equations; momentum; symmetry

UN Sustainable Development Goal Categories

15. Life on Land
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2007 journal article

Matching and stabilization of discrete mechanical systems

*PAMM*, *7*(1), 1030603–1030604.

Source: Crossref

Added: August 28, 2020

2005 journal article

Discrete nonholonomic LL systems on Lie groups

*NONLINEARITY*, *18*(5), 2211–2241.

Source: Web Of Science

Added: August 6, 2018

2003 journal article

Invariant measures of nonholonomic flows with internal degrees of freedom

*NONLINEARITY*, *16*(5), 1793–1807.

UN Sustainable Development Goal Categories

16. Peace, Justice and Strong Institutions
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

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