Structure preserving discretization of time-reparametrized Hamiltonian systems with application to nonholonomic mechanics

DOI10.3934/jcd.2021011zbMath1479.37082arXiv2008.07222OpenAlexW3163855164MaRDI QIDQ1983473

Luis C. García-Naranjo, Mats Vermeeren

Publication date: 10 September 2021

Published in: Journal of Computational Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.07222

zbMATH Keywords

geometric integrationnonholonomic mechanicsmeasure preservationconformally Hamiltonian systems

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) 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 (2)

Exact discrete Lagrangian mechanics for nonholonomic mechanics ⋮ A nonholonomic Newmark method

Uses Software

• GitHub

Cites Work

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