Works (16)

Updated: July 5th, 2023 15:59

2023 journal article

Discrete Hamiltonian Variational Mechanics and Hamel's Integrators

JOURNAL OF NONLINEAR SCIENCE, 33(2).

By: S. Gao*, D. Shiโ€‰* & D. Zenkov n

co-author countries: China ๐Ÿ‡จ๐Ÿ‡ณ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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.

By: S. Gao*, D. Shiโ€‰* & D. Zenkov n

co-author countries: China ๐Ÿ‡จ๐Ÿ‡ณ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 1381โ€“1419.

By: Z. An*, S. Gao*, D. Shiโ€‰* & D. Zenkov n

co-author countries: China ๐Ÿ‡จ๐Ÿ‡ณ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Hamel's equations; Field theories; Nonholonomic systems; Discrete mechanics; Geometric integration
Source: Web Of Science
Added: July 6, 2020

2020 journal article

Hamel's Formalism for Classical Field Theories

JOURNAL OF NONLINEAR SCIENCE, 30(4), 1307โ€“1353.

By: D. Shiโ€‰*, D. Zenkov n & A. Bloch*

co-author countries: China ๐Ÿ‡จ๐Ÿ‡ณ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Hamel's equations; Nonholonomic systems; Momentum; Symmetry
Source: Web Of Science
Added: July 6, 2020

2017 journal article

Hamel's Formalism for Infinite-Dimensional Mechanical Systems

JOURNAL OF NONLINEAR SCIENCE, 27(1), 241โ€“283.

By: D. Shiโ€‰*, Y. Berchenko-Kogan*, D. Zenkov n & A. Bloch*

co-author countries: China ๐Ÿ‡จ๐Ÿ‡ณ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 191โ€“220.

By: D. Zenkov n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: infinite-dimensional mechanics; nonholonomic constraints; variational integrators
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. 1โ€“29.

By: A. Bloch*, D. Krupka & D. Zenkov n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Web Of Science
Added: August 6, 2018

2015 book

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

Dmitry Zenkov

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).

By: O. Fernandezโ€‰*, A. Bloch* & D. Zenkov n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 431โ€“461.

By: J. Maruskin*, A. Bloch*, J. Marsden* & D. Zenkov n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 7504โ€“7510.

By: D. Zenkov n, M. Leokโ€‰* & A. Bloch*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 1263โ€“1291.

By: T. Ohsawaโ€‰*, O. Fernandezโ€‰*, A. Bloch* & D. Zenkov n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 187โ€“222.

By: A. Bloch*, J. Marsden* & D. Zenkov n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Hamel equations; momentum; symmetry
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Matching and stabilization of discrete mechanical systems

PAMM, 7(1), 1030603โ€“1030604.

By: A. Bloch*, M. Leokโ€‰*, J. Marsden* & D. Zenkov n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Crossref
Added: August 28, 2020

2005 journal article

Discrete nonholonomic LL systems on Lie groups

NONLINEARITY, 18(5), 2211โ€“2241.

By: Y. Fedorovโ€‰* & D. Zenkov n

co-author countries: Spain ๐Ÿ‡ช๐Ÿ‡ธ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Invariant measures of nonholonomic flows with internal degrees of freedom

NONLINEARITY, 16(5), 1793โ€“1807.

By: D. Zenkov n & A. Bloch*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Web Of Science
Added: August 6, 2018

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