Giuseppe Gaeta - Conditional symmetries and conditional constants of motion for dynamical systems

ocnmp:14887 - Open Communications in Nonlinear Mathematical Physics, January 28, 2025, Volume 5 - https://doi.org/10.46298/ocnmp.14887
Conditional symmetries and conditional constants of motion for dynamical systemsArticle

Authors: Giuseppe Gaeta

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.

Comment: 35 pages; V3: minor TeX issues solved. Published in OCNMP

https://doi.org/10.46298/ocnmp.14887
Source: arXiv.org:2411.18802
Volume: Volume 5
Published on: January 28, 2025
Accepted on: January 6, 2025
Submitted on: December 4, 2024
Keywords: Mathematics - Dynamical Systems, Mathematical Physics
Licence: Attribution 4.0 International (CC BY 4.0)

Classifications

Mathematics Subject Classification 20201
Sources:
  • [1] zbMATH Open.

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