A. V. Borisov, I. S. Mamaev, “The Nonexistence of an Invariant Measure for an Inhomogeneous Ellipsoid Rolling on a Plane”, Mat. Zametki, 77:6 (2005), 930–932; Math. Notes, 77:6 (2005), 855

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Matematicheskie Zametki, 2005, Volume 77, Issue 6, Pages 930–932
DOI: https://doi.org/10.4213/mzm2547 (Mi mzm2547)

This article is cited in 11 scientific papers (total in 11 papers)

Brief Communications

The Nonexistence of an Invariant Measure for an Inhomogeneous Ellipsoid Rolling on a Plane

A. V. Borisov^a, I. S. Mamaev^b

^a Institute of Computer Science
^b Udmurt State University

Full-text PDF (161 kB) Citations (11)

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DOI: https://doi.org/10.4213/mzm2547

Received: 01.11.2004

English version:
Mathematical Notes, 2005, Volume 77, Issue 6, Pages 855–857
DOI: https://doi.org/10.1007/s11006-005-0085-0

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. V. Borisov, I. S. Mamaev, “The Nonexistence of an Invariant Measure for an Inhomogeneous Ellipsoid Rolling on a Plane”, Mat. Zametki, 77:6 (2005), 930–932; Math. Notes, 77:6 (2005), 855–857

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm2547

https://doi.org/10.4213/mzm2547

https://www.mathnet.ru/eng/mzm/v77/i6/p930

This publication is cited in the following 11 articles:

William Clark, Anthony Bloch, “Existence of invariant volumes in nonholonomic systems subject to nonlinear constraints”, JGM, 15:1 (2023), 256
Ivan A. Bizyaev, Ivan S. Mamaev, “Permanent Rotations in Nonholonomic Mechanics. Omnirotational Ellipsoid”, Regul. Chaotic Dyn., 27:6 (2022), 587–612
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “An Invariant Measure and the Probability of a Fall in the Problem of an Inhomogeneous Disk Rolling on a Plane”, Regul. Chaotic Dyn., 23:6 (2018), 665–684
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
A. V. Borisov, I. S. Mamaev, “Invariantnaya mera i gamiltonizatsiya negolonomnykh sistem”, Nelineinaya dinam., 10:3 (2014), 355–359
A. V. Borisov, I. S. Mamaev, I. A. Bizyaev, “Ierarkhiya dinamiki pri kachenii tverdogo tela bez proskalzyvaniya i vercheniya po ploskosti i sfere”, Nelineinaya dinam., 9:2 (2013), 141–202
Luis C. García-Naranjo, Juan C. Marrero, “Non-Existence of an Invariant Measure for a Homogeneous Ellipsoid Rolling on the Plane”, Regul. Chaotic Dyn., 18:4 (2013), 372–379
Alexey V. Borisov, Ivan S. Mamaev, Ivan A. Bizyaev, “The Hierarchy of Dynamics of a Rigid Body Rolling without Slipping and Spinning on a Plane and a Sphere”, Regul. Chaotic Dyn., 18:3 (2013), 277–328
Bolsinov A.V., Borisov A.V., Mamaev I.S., “Hamiltonization of Non-Holonomic Systems in the Neighborhood of Invariant Manifolds”, Regul. Chaotic Dyn., 16:5 (2011), 443–464
A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Gamiltonizatsiya negolonomnykh sistem v okrestnosti invariantnykh mnogoobrazii”, Nelineinaya dinam., 6:4 (2010), 829–854
Nucci, MC, “The Jacobi Last Multiplier and its applications in mechanics”, Physica Scripta, 78:6 (2008), 065011

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

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