Conditional symmetries and conditional constants of motion for dynamical systems
Dynamical Systems
2025-02-10 v3 Mathematical Physics
math.MP
Abstract
Conditional symmetries were introduced by Levi and Winternitz in their 1989 seminal paper to deal with nonlinear PDEs. Here we discuss their application in the framework of ODEs, and more specifically Dynamical Systems; it turns out they are closely related to two established -- albeit maybe less widely known -- concepts, i.e. orbital symmetries and configurational invariants. The paper is devoted to studying the interplay of these notions, and their application in the study of Dynamical Systems, with special attention to invariant manifolds of these.
Cite
@article{arxiv.2411.18802,
title = {Conditional symmetries and conditional constants of motion for dynamical systems},
author = {Giuseppe Gaeta},
journal= {arXiv preprint arXiv:2411.18802},
year = {2025}
}
Comments
35 pages; V3: minor TeX issues solved. Published in OCNMP