Topology and Bifurcations in Nonholonomic Mechanics
From MaRDI portal
Publication:3453697
DOI10.1142/S0218127415300281zbMath1326.70022MaRDI QIDQ3453697
Alexei V. Bolsinov, Alexey V. Borisov, Ivan. A. Bizyaev, Ivan. S. Mamaev
Publication date: 30 November 2015
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Stability for nonlinear problems in mechanics (70K20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Hamilton's equations (70H05) Nonholonomic systems related to the dynamics of a system of particles (70F25)
Related Items (12)
Spherical robot of combined type: dynamics and control ⋮ On the Hadamard-Hamel problem and the dynamics of wheeled vehicles ⋮ Finite-dimensional integrable systems: a collection of research problems ⋮ Bifurcation diagram of the two vortices in a Bose-Einstein condensate with intensities of the same signs ⋮ Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics ⋮ Dynamics of two vortex rings in a Bose-Einstein condensate ⋮ The Hojman construction and hamiltonization of nonholonomic systems ⋮ Dynamics of a spherical robot with variable moments of inertia and a displaced center of mass ⋮ Gauge momenta as Casimir functions of nonholonomic systems ⋮ On the equations of the hydrodynamic type ⋮ Suslov problem with the Clebsch-Tisserand potential ⋮ Dynamics of the nonholonomic Suslov problem under periodic control: unbounded speedup and strange attractors
Cites Work
- Nonholonomic Hamilton-Jacobi theory via Chaplygin Hamiltonization
- Reducing the equations of motion of certain nonholonomic Chaplygin systems to Lagrangian and Hamiltonian form
- On theorems of dynamics
- Integrable geodesic flows with positive topological entropy
- Dynamical phenomena occurring due to phase volume compression in nonholonomic model of the rattleback
- Richness of chaotic dynamics in nonholonomic models of a Celtic stone
- Periodic flows, rank-two Poisson structures, and nonholonomic mechanics
- DYNAMICS AND BIFURCATIONS OF A NONHOLONOMIC HEISENBERG SYSTEM
- Non-holonomic dynamics and Poisson geometry
- Integrable geodesic flows with wild first integrals: the case of two-step nilmanifolds
- Poisson structures for reduced non-holonomic systems
- The Writhing Number of a Space Curve
This page was built for publication: Topology and Bifurcations in Nonholonomic Mechanics
