Integrable nonsmooth nonholonomic dynamics of a rubber wheel with sharp edges
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Publication:1739571
DOI10.1134/S1560354718070067zbMath1429.70002OpenAlexW2912666248WikidataQ128427421 ScholiaQ128427421MaRDI QIDQ1739571
Elena N. Pivovarova, Alexander A. Kilin
Publication date: 26 April 2019
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1560354718070067
bifurcation diagramintegrable systemwheelnonholonomic constraintbody of revolutionsharp edgerubber modelsystem with a discontinuous right-hand side
Free motion of a rigid body (70E15) Motion of a rigid body in contact with a solid surface (70E18) Integrable cases of motion in rigid body dynamics (70E40) Nonholonomic dynamical systems (37J60)
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Cites Work
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- Spherical robot of combined type: dynamics and control
- The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphere
- Analysis of the steady motions of the tippe top
- Towards a prototype of a spherical tippe top
- The Jacobi integral in nonholonomic mechanics
- Nonholonomic dynamics and control of a spherical robot with an internal omniwheel platform: theory and experiments
- The nearly horizontally rolling of a thick disk on a rough plane
- Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
- Chaplygin ball over a fixed sphere: an explicit integration
- Generalized Chaplygin's transformation and explicit integration of a system with a spherical support
- Controlled motion of a spherical robot with feedback. I
- On conjugation of solutions to two integrable problems: rolling of a pointed body on a plane
- Integrability of the motion of a rolling disk of finite thickness on a rough plane
- On realizing nonholonomic constraints by viscous friction forces and Celtic stones stability
- A set-valued force law for spatial Coulomb--Contensou friction.
- Dynamics of rolling disk
- The rolling motion of a truncated ball without slipping and spinning on a plane
- The ringing of Euler's disk
- On a motion of a heavy body of revolution on a horizontal plane. Translated from the Russian 1897 original
- Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics
- New effects in dynamics of rattlebacks
- Mathematical analysis of the tippe top
- Nearly flat falling motions of the rolling disk
- Hamiltonicity and integrability of the Suslov problem
- The problem of drift and recurrence for the rolling Chaplygin ball
- Rolling of a symmetric sphere on a horizontal plane without sliding or spinning
- Control of single wheel robots.
- Stability analysis of periodic solutions in the problem of the rolling of a ball with a pendulum
- Rubber Rolling: Geometry and Dynamics of 2-3-5 Distributions
- Topology and stability of integrable systems
- The Dynamics of a Tippe Top
- Rolling of a Rigid Body Without Slipping and Spinning: Kinematics and Dynamics
- On the dynamics of a solid on an absolutely rough plane