Dmitry V Zenkov
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Works (16)
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.
link.springer.com (publisher PDF)
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.
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), 1307–1353.
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), 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
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.
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
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.
Source: Web Of Science
Added: August 6, 2018
