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Global isochronous potentials

We present a geometric characterization of the nonlinear smooth functions $V: R\to R$ for which the origin is a global isochronous center for the scalar equation $\ddot x=-V'(x)$. We revisit Stillinger and Dorignac isochronous potentials $V$ and show a new simple explicit family. Implicit examples are easily produced.

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Co-authorshipAuthorshipAuthorshipTopic signalTopic signalWGlobal isochronous potentialspreprint / 2013AGianluca GorniResearcherAGaetano ZampieriResearcherTmath.DS4970 worksTnlin.SI903 works
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Global isochronous potentials

preprint / 2013

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