New developments on the geometric nonholonomic integrator

DOI10.1088/0951-7715/28/4/871zbMath1317.70006arXiv1312.1587OpenAlexW2963120151MaRDI QIDQ5247153

David Martín de Diego, Fernando Jiménez, Sebastián J. Ferraro

Publication date: 23 April 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.1587

zbMATH Keywords

nonholonomic mechanicsdiscrete variational calculusaffine constraintsreduction by symmetriesgeometric nonholonomic integrator

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Dynamical systems in classical and celestial mechanics (37N05) Nonholonomic systems related to the dynamics of a system of particles (70F25) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Nonholonomic dynamical systems (37J60)

Related Items (11)

Preservation of adiabatic invariants and geometric numerical algorithm for disturbed nonholonomic systems ⋮ Regular and chaotic motions of a Chaplygin sleigh under periodic pulsed torque impacts ⋮ On the geometry of the Hamilton-Jacobi equation and generating functions ⋮ Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics ⋮ On the discretization of nonholonomic dynamics in \(\mathbb{R}^n\) ⋮ On some aspects of the discretization of the Suslov problem ⋮ Structure preserving discretization of time-reparametrized Hamiltonian systems with application to nonholonomic mechanics ⋮ A Hamiltonian pertubation approach to construction of geometric integrators for optimal control problems ⋮ Feedback integrators for nonholonomic mechanical systems ⋮ Variational integrators for forced Lagrangian systems based on the local path fitting technique ⋮ What makes nonholonomic integrators work?

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