V. V. Kozlov, “Dynamics of systems with non-integrable restrictions. I”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 3, 92

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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika

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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1982, Number 3, Pages 92–100 (Mi vmumm4247)

This article is cited in 15 scientific papers (total in 15 papers)

Mechanics

Dynamics of systems with non-integrable restrictions. I

V. V. Kozlov

Full-text PDF (1599 kB) Citations (15)

Abstract: We propose a new mathematical model of the dynamics of mechanical systems with non-integrable restrictions. It is based on a generalization of the famous principle of the least action.

Received: 28.09.1981

Bibliographic databases:

Document Type: Article

UDC: 531.01

Language: Russian

Citation: V. V. Kozlov, “Dynamics of systems with non-integrable restrictions. I”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 3, 92–100

Citation in format AMSBIB

\Bibitem{Koz82}

\by V.~V.~Kozlov

\paper Dynamics of systems with non-integrable restrictions.~I

\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.

\yr 1982

\issue 3

\pages 92--100

\mathnet{http://mi.mathnet.ru/vmumm4247}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0671067}

\zmath{https://zbmath.org/?q=an:0501.70016}

Linking options:

https://www.mathnet.ru/eng/vmumm4247

https://www.mathnet.ru/eng/vmumm/y1982/i3/p92

Cycle of papers

Dynamics of systems with non-integrable restrictions. I
V. V. Kozlov
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982:3, 92–100
The dynamics of systems with nonintegrable constraints. II
V. V. Kozlov
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982:4, 70–76
Dynamics of systems with nonintegrable constraints. III
V. V. Kozlov
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983:3, 102–111

This publication is cited in the following 15 articles:

V. V. Kozlov, “On Dirac's generalized Hamiltonian dynamics”, Russian Math. Surveys, 79:4 (2024), 649–681
Yu. L. Sachkov, “Left-invariant optimal control problems on Lie groups that are integrable by elliptic functions”, Russian Math. Surveys, 78:1 (2023), 65–163
A. V. Borisov, I. S. Mamaev, “Neodnorodnye sani Chaplygina”, Nelineinaya dinam., 13:4 (2017), 625–639
Alexey V. Borisov, Ivan S. Mamaev, “An Inhomogeneous Chaplygin Sleigh”, Regul. Chaotic Dyn., 22:4 (2017), 435–447
A. V. Borisov, I. S. Mamaev, I. A. Bizyaev, “Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics”, Russian Math. Surveys, 72:5 (2017), 783–840
Jaap Eldering, “Realizing Nonholonomic Dynamics as Limit of Friction Forces”, Regul. Chaotic Dyn., 21:4 (2016), 390–409
E. R. Avakov, V. G. Oleinikov, “Irregular trajectories in vakonomic mechanical systems”, Comput. Math. Math. Phys., 56:10 (2016), 1686–1694
V. V. Kozlov, “Printsipy dinamiki i servosvyazi”, Nelineinaya dinam., 11:1 (2015), 169–178
V. V. Kozlov, “Dinamika sistem s servosvyazyami. II”, Nelineinaya dinam., 11:3 (2015), 579–611
A. V. Borisov, I. S. Mamaev, A. V. Tsiganov, “Non-holonomic dynamics and Poisson geometry”, Russian Math. Surveys, 69:3 (2014), 481–538
V. Zh. Sakbaev, “Cauchy problem for degenerating linear differential equations and averaging of approximating regularizations”, Journal of Mathematical Sciences, 213:3 (2016), 287–459
Dzh. O. Ogun, Yu. N. Orlov, V. Zh. Sakbaev, “O preobrazovanii prostranstva nachalnykh dannykh dlya zadachi Koshi s osobennostyami resheniya tipa vzryva”, Preprinty IPM im. M. V. Keldysha, 2012, 087, 31 pp.
S. V. Bolotin, “Zadacha optimalnogo upravleniya kacheniem shara s rotorami”, Nelineinaya dinam., 8:4 (2012), 837–852
V. Z. Sakbaev, “The set of quantum states and its averaged dynamic transformations”, Russian Math. (Iz. VUZ), 55:10 (2011), 41–50
G. M. Rozenblat, “K postanovke zadach v dinamike nesvobodnogo dvizheniya tverdogo tela i paradoksy Penleve”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2009, no. 2, 75–88

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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