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On Chouikha's isochronicity criterion

2012/01/31 by Jean-Marie Strelcyn, Strelcyn, Jean-Marie
Mathematics · #34C15 #34C25 #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Differential Equations Analysis #advanced mathematical theories #math.CA #msc:34C15 #msc:34C25

paper · pdf · doi:10.48550/arxiv.1201.6503

8 pages

arxiv created 2012/01/31 · openalex publication_date 2012/01/31 · arxiv updated 2012/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently A.R.Chouikha gave a new characterization of isochronicity of center at the origin for the equation x"+g(x)=0, where g is a real smooth function defined in some neighborhood of 0 ∈ \R. We describe another proof of his characterization and some new development of the subject.

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