Geometric integrators and nonholonomic mechanics

2002/11/15 by Manuel de León, David Martı́n de Diego, de Leon, M. +3 · 1 citation
Engineering · Mathematics · #37J60 #37M15 #58F05 #Control and Dynamics of Mobile Robots #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical Analysis (math.NA) #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.math-ph/0211028

openalex publication_date 2002/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A geometric derivation of nonholonomic integrators is developed. It is based in the classical technique of generating functions adapted to the special features of nonholonomic systems. The theoretical methodology and the integrators obtained are, in general, different from the previously obtained.

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• Geometric integrators for adiabatically closed simple thermodynamic systems

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