Construction of adjoint symmetries for systems of second-order and mixed first- and second-order ordinary differential equations

DOI10.1016/S0895-7177(97)00057-5zbMath0881.34008OpenAlexW1967989321MaRDI QIDQ1368540

Willy Sarlet

Publication date: 13 November 1997

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(97)00057-5

zbMATH Keywords

mechanical systemssecond-order ordinary differential equationsnonholonomic constraintsadjoint symmetriesautomatic computation of symmetriesbenchmark for testing

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Nonholonomic systems related to the dynamics of a system of particles (70F25)

Related Items

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Uses Software

• SYMMGRP
• DIMSYM
• LIE

Cites Work

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• Derivations of differential forms along the tangent bundle projection
• REDUCE-procedures for the study of adjoint symmetries of second-order differential equations
• DIMSYM and LIE: Symmetry determination packages
• Derivations of differential forms along the tangent bundle projection. II
• Derivations of forms along a map: The framework for time-dependent second-order equations
• Adjoint symmetries for time-dependent second-order equations
• Symmetry theory and Lagrangian inverse problem for time-dependent second-order differential equations
• Pseudo-symmetries, Noether's theorem and the adjoint equation
• A geometrical framework for the study of non-holonomic Lagrangian systems
• The symmetry in the structure of dynamical and adjoint symmetries of second-order differential equations
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
• LIE, a PC program for Lie analysis of differential equations