The Integrable Problem of the Rolling Motion of a Dynamically Symmetric Spherical Top with One Nonholonomic Constraint
From MaRDI portal
Publication:6078952
DOI10.20537/nd221205zbMath1525.70013OpenAlexW4312593012MaRDI QIDQ6078952
Alexander A. Kilin, Tatiana B. Ivanova
Publication date: 28 September 2023
Published in: Nelineinaya Dinamika (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/nd835
Nonholonomic systems related to the dynamics of a system of particles (70F25) Motion of a rigid body in contact with a solid surface (70E18) Integrable cases of motion in rigid body dynamics (70E40)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Qualitative analysis of the dynamics of a wheeled vehicle
- On the Hadamard-Hamel problem and the dynamics of wheeled vehicles
- Historical and critical review of the development of nonholonomic mechanics: the classical period
- The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphere
- On the theory of motion of nonholonomic systems. The reducing-multiplier theorem. Translated from the Russian 1911 original
- Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
- Controlled motion of a spherical robot with feedback. II.
- Generalized Chaplygin's transformation and explicit integration of a system with a spherical support
- Two non-holonomic integrable problems tracing back to Chaplygin
- On some generalization of the area theorem with applications to the problem of rolling balls. Translated from the Russian 1897 original
- Controlled motion of a spherical robot with feedback. I
- Symmetries and reduction in nonholonomic mechanics
- On the non-existence of the additional integral in the problem of the motion of a heavy rigid ellipsoid along a smooth plane
- On theorems of dynamics
- Dynamics of rolling disk
- The inertial motion of a \textit{roller racer}
- Exotic dynamics of nonholonomic roller racer with periodic control
- On the history of the development of the nonholonomic dynamics
- On a motion of a heavy body of revolution on a horizontal plane. Translated from the Russian 1897 original
- On a ball's rolling on a horizontal plane. Translated from the Russian 1903 original
- Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics
- Rolling of a ball without spinning on a plane: the absence of an invariant measure in a system with a complete set of integrals
- Nonintegrability and obstructions to the Hamiltonianization of a nonholonomic Chaplygin top
- Different models of rolling for a robot ball on a plane as a generalization of the Chaplygin ball problem
- Stabilization of the motion of a spherical robot using feedbacks
- Regular and chaotic dynamics in the rubber model of a Chaplygin top
- Hamiltonicity and integrability of the Suslov problem
- Strange attractors and mixed dynamics in the problem of an unbalanced rubber ball rolling on a plane
- Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
- The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside
- Dynamics and control of an omniwheel vehicle
- Rubber Rolling: Geometry and Dynamics of 2-3-5 Distributions
- Control of a Vehicle with Omniwheels on a Plane
- Rolling of a Rigid Body Without Slipping and Spinning: Kinematics and Dynamics
