First integrals and symmetries of nonholonomic systems
From MaRDI portal
Publication:2127908
DOI10.1007/s00205-022-01753-9zbMath1503.37074arXiv2101.01216OpenAlexW4287394290WikidataQ114231139 ScholiaQ114231139MaRDI QIDQ2127908
Paula Balseiro, Nicola Sansonetto
Publication date: 21 April 2022
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.01216
Nonholonomic systems related to the dynamics of a system of particles (70F25) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Nonholonomic dynamical systems (37J60)
Related Items
On some aspects of the dynamics of a ball in a rotating surface of revolution and of the kasamawashi art ⋮ Momentum map reduction for nonholonomic systems ⋮ Second-order-optimal filtering on SE\((2)\times\mathbb{R}^2\) for the Chaplygin sleigh
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A geometric characterization of certain first integrals for nonholonomic systems with symmetries
- The Jacobiator of nonholonomic systems and the geometry of reduced nonholonomic brackets
- Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems: pro or contra?
- The reaction-annihilator distribution and the nonholonomic Noether theorem for lifted actions
- Geometric control and numerical aspects of nonholonomic systems
- Symmetries and reduction in nonholonomic mechanics
- Reduction of almost Poisson brackets and Hamiltonization of the Chaplygin sphere
- Gauge conservation laws and the momentum equation in nonholonomic mechanics
- On theorems of dynamics
- On first integrals of a nonholonomic mechanical system
- Extended integrability and bi-Hamiltonian systems
- Nonholonomic Noether theorem and reduction of symmetries
- Reduction of nonholonomic mechanical systems with symmetries
- Routh's sphere
- Various approaches to conservative and nonconservative nonholonomic systems
- Nonholonomic reduction
- Geometry of nonholonomic constraints
- Examples of gauge conservation laws in nonholonomic systems
- Linear conservation laws of nonholonomic systems with symmetry
- Hamiltonization of solids of revolution through reduction
- Gauge momenta as Casimir functions of nonholonomic systems
- Integrable systems, symmetries, and quantization
- Linear weakly Noetherian constants of motion are horizontal gauge momenta
- On the Hamiltonian formulation of nonholonomic mechanical systems
- Chaplygin's ball rolling problem is Hamiltonian
- On a ball's rolling on a horizontal plane. Translated from the Russian 1903 original
- Rolling of a ball on a surface. New integrals and hierarchy of dynamics
- Geometric structure of ``broadly integrable Hamiltonian systems
- Reduction of constrained mechanical systems and stability of relative equilibria
- Control of locomotion systems and dynamics in relative periodic orbits
- Gauge transformations, twisted Poisson brackets and Hamiltonization of nonholonomic systems
- Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. E Crouch, J. E. Marsden and D. Zenkov. With scientific input from P. S. Krishnaprasad and R. M. Murray
- Nonholonomic mechanical systems with symmetry
- On the number of weakly Noetherian constants of motion of nonholonomic systems
- Geometry of invariant tori of certain integrable systems with symmetry and an application to a nonholonomic system
- Relations between the first integrals of a nonholonomic mechanical system and of the corresponding system freed of constraints
- The geometry of the Routh problem
- Periodic flows, rank-two Poisson structures, and nonholonomic mechanics
- Conserved quantities and Hamiltonization of nonholonomic systems
- Geometry of Integrable non-Hamiltonian Systems
- Bifurcations of Relative Equilibria
- Noncompact drift for relative equilibria and relative periodic orbits
- Equivariant Dynamical Systems
- Dirac Brackets in Constrained Dynamics
- A symmetric sphere rolling on a surface
- AN ELEMENTAL OVERVIEW OF THE NONHOLONOMIC NOETHER THEOREM