2008/02/25 by G. Cicogna, Giampaolo Cicogna · 18 citations
Chemistry · Mathematics · Physics and Astronomy · #Algebra over a field #Applied mathematics #Differential equation #Dynamical systems theory #Geometry #Homogeneous space #Mathematical analysis #Mathematical physics #Mathematics #Molecular spectroscopy and chirality #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Ode #Order (exchange) #Ordinary differential equation #Physics #Point (geometry) #Pure mathematics #Quantum mechanics #Reduction (mathematics) #Symmetry (geometry) #Type (biology) #nlin.SI
paper · pdf · doi:10.1016/j.physleta.2008.02.041
published in Physics Letters A 372(20), 3672-3677 (Elsevier BV) · 12 pages
arxiv created 2008/02/25 · openalex publication_date 2008/03/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The notion of lambda-symmetries, originally introduced by C. Muriel and J.L. Romero, is extended to the case of systems of first-order ODE's (and of dynamical systems in particular). It is shown that the existence of a symmetry of this type produces a reduction of the differential equations, restricting the presence of the variables involved in the problem. The results are compared with the case of standard (i.e. exact) Lie-point symmetries and are also illustrated by some examples.