Almost-Poisson brackets for nonholonomic systems with gyroscopic terms and Hamiltonisation
From MaRDI portal
Publication:6624023
DOI10.1007/S00332-024-10084-WMaRDI QIDQ6624023
Paolo E. Petit Valdés, David Martín de Diego, Luis C. García-Naranjo, Juan Carlos Marrero
Publication date: 24 October 2024
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
gauge transformationsnonholonomic systemsSuslov problemChaplygin sphereHamiltonisationalmost-Poisson bracketsgyroscopic Lagrangian
Applications of differential geometry to physics (53Z05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Motion of a rigid body in contact with a solid surface (70E18) Integrable cases of motion in rigid body dynamics (70E40) Nonholonomic dynamical systems (37J60)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Conservation of `moving' energy in nonholonomic systems with affine constraints and integrability of spheres on rotating surfaces
- On the Hadamard-Hamel problem and the dynamics of wheeled vehicles
- The Jacobiator of nonholonomic systems and the geometry of reduced nonholonomic brackets
- The Jacobi integral in nonholonomic mechanics
- Linear almost Poisson structures and Hamilton-Jacobi equation. Applications to nonholonomic mechanics
- Hamiltonization and integrability of the Chaplygin sphere in \(\mathbb R^{n}\)
- Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
- Reduction of almost Poisson brackets for nonholonomic systems on Lie groups
- How to control Chaplygin's sphere using rotors
- Geometric control and numerical aspects of nonholonomic systems
- Dirac algebroids in Lagrangian and Hamiltonian mechanics
- Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems
- Dirac structures in Lagrangian mechanics. II: Variational structures
- Reduction of almost Poisson brackets and Hamiltonization of the Chaplygin sphere
- Nonholonomic Lagrangian systems on Lie algebroids
- Hamiltonian systems with constraints and their meaning in mechanics
- Reduction of some classical non-holonomic systems with symmetry
- Reduction of nonholonomic mechanical systems with symmetries
- Poisson reduction for nonholonomic mechanical systems with symmetry
- Various approaches to conservative and nonconservative nonholonomic systems
- Nonholonomic reduction
- Gyroscopic control and stabilization
- The geometry of ordinary variational equations
- Hamiltonization of solids of revolution through reduction
- Gauge momenta as Casimir functions of nonholonomic systems
- Nonholonomic LR systems as generalized Chaplygin systems with an invariant measure and flows on homogeneous spaces
- 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
- Kinematic reduction and the Hamilton-Jacobi equation
- Unimodularity and preservation of volumes in nonholonomic mechanics
- Gauge transformations, twisted Poisson brackets and Hamiltonization of nonholonomic systems
- Geometric kinematic control of a spherical rolling robot
- 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
- Hamiltonicity and integrability of the Suslov problem
- Periodic flows, rank-two Poisson structures, and nonholonomic mechanics
- Conserved quantities and Hamiltonization of nonholonomic systems
- Controlled Lagrangians and the stabilization of Euler-Poincaré mechanical systems
- Controlled Lagrangians and the stabilization of mechanical systems. I: The first matching theorem.
- Non-holonomic dynamics and Poisson geometry
- Geometrisation of Chaplygin's reducing multiplier theorem
- Geometric modeling and local controllability of a spherical mobile robot actuated by an internal pendulum
- Reduction of nonholonomic systems in two stages and Hamiltonization
- Nonholonomic constraints: A new viewpoint
- On the geometry of generalized Chaplygin systems
- On almost-Poisson structures in nonholonomic mechanics
- Dirac Brackets in Constrained Dynamics
- Moving energies as first integrals of nonholonomic systems with affine constraints
- Poisson structures for reduced non-holonomic systems
- Hamiltonisation, measure preservation and first integrals of the multi-dimensional rubber Routh sphere
- Quasivelocities and symmetries in non-holonomic systems
- Variational calculus with constraints on general algebroids
- Lagrangian submanifolds and dynamics on Lie algebroids
- The Hamiltonian dynamics of non-holonomic systems
- Gyroscopic Chaplygin systems and integrable magnetic flows on spheres
- Gyrostatic Suslov Problem
- A new perspective on nonholonomic brackets and Hamilton-Jacobi theory
- Controlled Lagrangians and stabilization of Euler-Poincaré equations with symmetry breaking nonholonomic constraints
This page was built for publication: Almost-Poisson brackets for nonholonomic systems with gyroscopic terms and Hamiltonisation
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6624023)
