Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Geometrisation of Chaplygin's reducing multiplier theorem - MaRDI portal

Geometrisation of Chaplygin's reducing multiplier theorem

From MaRDI portal
Publication:2944165

DOI10.1088/0951-7715/28/7/2307zbMath1333.37103arXiv1405.5843OpenAlexW2964176054MaRDI QIDQ2944165

Alexei V. Bolsinov, Ivan. S. Mamaev, Alexey V. Borisov

Publication date: 28 August 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.5843




Related Items (25)

Sundman transformation and alternative tangent structuresDynamics of the Chaplygin sleigh on a cylinderOn the Hadamard-Hamel problem and the dynamics of wheeled vehiclesAdiabatic invariants, diffusion and acceleration in rigid body dynamicsGeneralisation of Chaplygin’s reducing multiplier theorem with an application to multi-dimensional nonholonomic dynamicsDynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanicsGyroscopic Chaplygin systems and integrable magnetic flows on spheresThe dynamics of systems with servoconstraints. IIInverse Jacobi multiplier as a link between conservative systems and Poisson structuresTwo Integrable Cases of a Ball Rolling over a Sphere in $\mathbb{R}^n$Symmetries and reduction in nonholonomic mechanicsDynamics of the Suslov problem in a gravitational field: reversal and strange attractorsThe Hojman construction and hamiltonization of nonholonomic systemsDynamics of the Chaplygin ball on a rotating planeOpen problems, questions and challenges in finite- dimensional integrable systemsNonholonomic connections, time reparametrizations, and integrability of the rolling ball over a sphereThe Jacobi integral in nonholonomic mechanicsOn the Chaplygin sphere in a magnetic fieldThe geometry of nonholonomic Chaplygin systems revisitedDifferent models of rolling for a robot ball on a plane as a generalization of the Chaplygin ball problemCartan meets ChaplyginHamiltonisation, measure preservation and first integrals of the multi-dimensional rubber Routh sphereDemchenko’s nonholonomic case of a gyroscopic ball rolling without sliding over a sphere after his 1923 Belgrade doctoral thesisHamiltonization and separation of variables for a Chaplygin ball on a rotating planeHamiltonization of elementary nonholonomic systems




This page was built for publication: Geometrisation of Chaplygin's reducing multiplier theorem