title: Class of solvable nonlinear oscillators with isochronous orbits.
abstract: The nonlinear oscillator x¨+(2m+3)x(2m+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.
authors.affiliation: ENEA - C.R. Casaccia, Via Anguillarese 301, I-00123 Roma, Italy.
authors.forename: R
authors.initials: R
authors.lastname: Iacono
authors.forename: F
authors.initials: F
authors.lastname: Russo