Resumen de Global Isochronous Potentials

Gianluca Gorni, Gaetano Zampieri

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