Class of solvable nonlinear oscillators with isochronous orbits

R. Iacono, F. Russo

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Abstract

The nonlinear oscillator x″+(2m+3)x2m+1 x+x+x 4m+3=0, with m a non-negative integer, is known to have a center in the origin, in a neighborhood of which are isochronous orbits, i.e., orbits with fixed period, not dependent on the amplitude. Here, we show that this oscillator can be explicitly integrated, and that its phase space can be completely characterized. © 2011 American Physical Society.
Original languageEnglish
Article number027601
Pages (from-to)-
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume83
Issue number2
DOIs
Publication statusPublished - 2 Feb 2011
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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