2014/02/28 by Stefan C. Mancas, Stefan C Mancas, H. C. Rosu +1
Chemistry · Mathematics · Physics and Astronomy · #Applied mathematics #Calculus (dental) #Dynamical systems theory #Integrable system #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons #Nonlinear system #Parametric statistics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #math-ph #math.MP
paper · pdf · doi:10.1016/j.physleta.2014.05.008
published as Phys. Lett. A 378 (2014) 2113-2117 · 8 pages, published version
openalex publication_date 2014/05/20 · arxiv created 2014/07/05 · arxiv updated 2014/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Reid's mth-order generalized Ermakov systems of nonlinear coupling constant α are equivalent to an integrable Emden–Fowler equation. The standard Ermakov–Lewis invariant is discussed from this perspective, and a closed formula for the invariant is obtained for the higher-order Reid systems (m≥3). We also discuss the parametric solutions of these systems of equations through the integration of the Emden–Fowler equation and present an example of a dynamical system for which the invariant is equivalent to the total energy.