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
The problem of drift and recurrence for the rolling Chaplygin ball - MaRDI portal

The problem of drift and recurrence for the rolling Chaplygin ball

From MaRDI portal
Publication:2449303

DOI10.1134/S1560354713060166zbMath1286.70007OpenAlexW1990102808MaRDI QIDQ2449303

Alexey V. Borisov, Alexander A. Kilin, Ivan. S. Mamaev

Publication date: 7 May 2014

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354713060166




Related Items

On final motions of a Chaplygin ball on a rough planeRegular and chaotic dynamics in the rubber model of a Chaplygin topSpiral chaos in the nonholonomic model of a Chaplygin topDynamics of the Chaplygin sleigh on a cylinderQualitative analysis of the dynamics of a wheeled vehicleOn the Hadamard-Hamel problem and the dynamics of wheeled vehiclesAdiabatic invariants, diffusion and acceleration in rigid body dynamicsThe dynamics of vortex sources in a deformation flowThe phenomenon of reversal in the Euler-Poincaré-Suslov nonholonomic systemsDynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanicsThe reversal and chaotic attractor in the nonholonomic model of Chaplygin's topThe dynamics of systems with servoconstraints. IIOn the control of a robot ball using two omniwheelsMotion Control of a Spherical Robot with a Pendulum Actuator for Pursuing a TargetThe rolling motion of a truncated ball without slipping and spinning on a planeTwo nonholonomic chaotic systems. II: On the rolling of a nonholonomic bundle of two bodiesRoller racer with varying gyrostatic momentum: acceleration criterion and strange attractorsSymmetries and reduction in nonholonomic mechanicsDynamics of the Suslov problem in a gravitational field: reversal and strange attractorsAn inhomogeneous Chaplygin sleighThe Hojman construction and hamiltonization of nonholonomic systemsDynamics of the Chaplygin ball on a rotating planeInvariant Submanifolds of Genus 5 and a Cantor Staircase in the Nonholonomic Model of a SnakeboardDynamics of the Chaplygin Ball with Variable ParametersIntegrable nonsmooth nonholonomic dynamics of a rubber wheel with sharp edgesThe Jacobi integral in nonholonomic mechanicsControlled motion of a rigid body with internal mechanisms in an ideal incompressible fluidPrecession of the Kovalevskaya and Goryachev-Chaplygin topsThe Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic accelerationOn the Lie integrability theorem for the Chaplygin ballThe dynamics and control of a spherical robot with an internal omniwheel platformDynamics and control of an omniwheel vehicleA Chaplygin sleigh with a moving point massDifferent models of rolling for a robot ball on a plane as a generalization of the Chaplygin ball problemA particular integrable case in the nonautonomous problem of a Chaplygin sphere rolling on a vibrating planeQualitative analysis of the nonholonomic rolling of a rubber wheel with sharp edgesMotion control of the spherical robot rolling on a vibrating planeHamiltonization of elementary nonholonomic systems



Cites Work