Normal forms and averaging in an acceleration problem in nonholonomic mechanics
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Publication:4983670
DOI10.1063/5.0030889zbMath1465.70056OpenAlexW3119233098MaRDI QIDQ4983670
Sergey V. Bolotin, Ivan. A. Bizyaev, Ivan. S. Mamaev
Publication date: 26 April 2021
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0030889
Nonholonomic systems related to the dynamics of a system of particles (70F25) Nonholonomic dynamical systems (37J60)
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Cites Work
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- On the Hadamard-Hamel problem and the dynamics of wheeled vehicles
- The phenomenon of reversal in the Euler-Poincaré-Suslov nonholonomic systems
- The inhomogeneous Suslov problem
- On the theory of motion of nonholonomic systems. The reducing-multiplier theorem. Translated from the Russian 1911 original
- Unbounded energy growth in Hamiltonian systems with a slowly varying parameter
- Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
- Asymptotic Hamiltonian dynamics: The Toda lattice, the three-wave interaction and the non-holonomic Chaplygin sleigh
- On three types of dynamics and the notion of attractor
- On the phenomenon of mixed dynamics in Pikovsky-Topaj system of coupled rotators
- Chaplygin top with a periodic gyrostatic moment
- Exotic dynamics of nonholonomic roller racer with periodic control
- The dynamics of a Chaplygin sleigh with an elastic internal rotor
- The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration
- Sinusoidal control and limit cycle analysis of the dissipative Chaplygin sleigh
- Regular and stochastic motion
- A geometric approach to the existence of orbits with unbounded energy in generic periodic perturbations by a potential of generic geodesic flows of \(\mathbb{T}^2\)
- Integrability and chaos in figure skating
- Hamiltonicity and integrability of the Suslov problem
- Dynamics of some piecewise smooth Fermi-Ulam models
- Fermi acceleration and adiabatic invariants for non-autonomous billiards
- Separatrix maps in Hamiltonian systems
- Unbounded growth of energy in nonautonomous Hamiltonian systems
- Oscillations, SE(2)-snakes and motion control: A study of the Roller Racer
- Averaging method for systems with separatrix crossing
- Kantorovich–Rubinstein–Wasserstein distance between overlapping attractor and repeller
- On the intersection of a chaotic attractor and a chaotic repeller in the system of two adaptively coupled phase oscillators
- Fermi-like acceleration and power-law energy growth in nonholonomic systems
- Quasivelocities and symmetries in non-holonomic systems
- Dynamics of the nonholonomic Suslov problem under periodic control: unbounded speedup and strange attractors