Global Isochronous Potentials

• Gianluca Gorni ^[2] ; Gaetano Zampieri ^[1]
  1. [1] Università di Verona (Italia)
  2. [2] Università di Udine (Italia)
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 12, Nº 2, 2013, págs. 407-416
• Idioma: inglés
• DOI: 10.1007/s12346-013-0097-1
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• Resumen

  • 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.