Symmetry, singularities and integrability in complex dynamics III: approximate symmetries and invariants
Exactly Solvable and Integrable Systems
2015-06-26 v2 Mathematical Physics
math.MP
Abstract
The different natures of approximate symmetries and their corresponding first integrals/invariants are delineated in the contexts of both Lie symmetries of ordinary differential equations and Noether symmetries of the Action Integral. Particular note is taken of the effect of taking higher orders of the perturbation parameter. Approximate symmetries of approximate first integrals/invariants and the problems of calculating them using the Lie method are considered.
Keywords
Cite
@article{arxiv.nlin/0011003,
title = {Symmetry, singularities and integrability in complex dynamics III: approximate symmetries and invariants},
author = {Peter Leach and Sibusio Moyo and Spiros Cotsakis and R. L. Lemmer},
journal= {arXiv preprint arXiv:nlin/0011003},
year = {2015}
}