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.
|Journal||Physical Review E - Statistical, Nonlinear, and Soft Matter Physics|
|Publication status||Published - 2 Feb 2011|
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics
Iacono, R., & Russo, F. (2011). Class of solvable nonlinear oscillators with isochronous orbits. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 83(2), -. . https://doi.org/10.1103/PhysRevE.83.027601