On Chouikha's isochronicity criterion

Mathematics – Classical Analysis and ODEs

Scientific paper

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8 pages

Scientific paper

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 $0 \in \R$. We describe another proof of his
characterization and some new development of the subject.

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