Dmitry Zenkov

Publications

Discrete Hamiltonian Variational Mechanics and Hamel's Integrators

Gao, S., Shi, D., & Zenkov, D. V. (2023), JOURNAL OF NONLINEAR SCIENCE, 33(2). https://doi.org/10.1007/s00332-022-09875-w

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. https://doi.org/10.1007/s00332-023-09890-5

A Variational Integrator for the Chaplygin-Timoshenko Sleigh

An, Z., Gao, S., Shi, D., & Zenkov, D. V. (2020), JOURNAL OF NONLINEAR SCIENCE, 30(4), 1381–1419. https://doi.org/10.1007/s00332-020-09611-2

Hamel's Formalism for Classical Field Theories

Shi, D., Zenkov, D. V., & Bloch, A. M. (2020), JOURNAL OF NONLINEAR SCIENCE, 30(4), 1307–1353. https://doi.org/10.1007/s00332-020-09609-w

Hamel's Formalism for Infinite-Dimensional Mechanical Systems

Shi, D., Berchenko-Kogan, Y., Zenkov, D. V., & Bloch, A. M. (2017), JOURNAL OF NONLINEAR SCIENCE, 27(1), 241–283. https://doi.org/10.1007/s00332-016-9332-7

ON HAMEL'S EQUATIONS

Zenkov, D. V. (2016), THEORETICAL AND APPLIED MECHANICS, 43(2), 191–220. https://doi.org/10.2298/tam160612011z

The Helmholtz Conditions and the Method of Controlled Lagrangians

Bloch, A. M., Krupka, D., & Zenkov, D. V. (2015), INVERSE PROBLEM OF THE CALCULUS OF VARIATIONS: LOCAL AND GLOBAL THEORY, pp. 1–29. https://doi.org/10.2991/978-94-6239-109-3_1

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

, . (2015). https://doi.org/10.2991/978-94-6239-109-3

The geometry and integrability of the Suslov problem

Fernandez, O. E., Bloch, A. M., & Zenkov, D. V. (2014), JOURNAL OF MATHEMATICAL PHYSICS, 55(11). https://doi.org/10.1063/1.4901754

A Fiber Bundle Approach to the Transpositional Relations in Nonholonomic Mechanics

Maruskin, J. M., Bloch, A. M., Marsden, J. E., & Zenkov, D. V. (2012), JOURNAL OF NONLINEAR SCIENCE, 22(4), 431–461. https://doi.org/10.1007/s00332-012-9144-3

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