We study the limit cycles of a wide class of second order differential equations, which can be seen as a particular perturbation of the harmonic oscillator. In particular, by choosing adequately the perturbed function we show, using the averaging theory, that it is possible to obtain as many limit cycles as we want. © 2011 Elsevier B.V. All rights reserved.
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|Publication status||Published - 14 Feb 2011|
- Averaging theory
- Limit cycle
- Second order differential equation