Published November 2019
| Version v1
Journal article
Dynamics of a Chaplygin sleigh with an unbalanced rotor: regular and chaotic motions
- 1. Innopolis University. Center for Technologies in Robotics and Mechatronics Components (Russian Federation)
- 2. Moscow Institute of Physics and Technology (Russian Federation)
- 3. Mechanical Engineering Research Institute of the Russian Academy of Sciences (IMASH RAN) (Russian Federation)
- 4. Udmurt State University (Russian Federation)
Description
This paper addresses the problem of the motion of a sleigh with a free rotor. It is shown that this system exhibits chaotic and regular motions. The case in which the system is balanced relative to the knife edge is of particular interest because it has an additional integral. In this case, the problem reduces to investigating a vector field on a torus and to classifying singular points on it.
Additional details
Identifiers
Publishing Information
- Journal Title
- Nonlinear Dynamics
- Journal Volume
- 98
- Journal Issue
- 3
- Journal Page Range
- p. 2277-2291
- ISSN
- 0924-090X
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 56006241
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CHAOS THEORY; CONFORMAL MAPPING; DIFFERENTIAL OPERATORS; EQUATIONS OF MOTION; HAMILTON-JACOBI EQUATIONS; INTEGRABLE SYSTEMS; INTEGRALS; LAPLACE EQUATION; MATHEMATICAL EVOLUTION; MOTION; ROTORS; SINGULARITY; SMOOTH MANIFOLDS; VECTOR FIELDS; VECTORS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; DYNAMICAL SYSTEMS; EQUATIONS; EVOLUTION; MAPPING; MATHEMATICAL MANIFOLDS; MATHEMATICAL OPERATORS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; TENSORS; TOPOLOGICAL MAPPING; TRANSFORMATIONS
Optional Information
- Copyright
- Copyright (c) 2019 © Springer Nature B.V. 2019