| Full text | |
| Author(s): |
Llibre, Jaume
;
Teixeira, Marco Antonio
Total Authors: 2
|
| Document type: | Journal article |
| Source: | JOURNAL OF SINGULARITIES; v. 10, p. 8-pg., 2014-01-01. |
| Abstract | |
We provide sufficient conditions for the existence of periodic solutions of some classes of autonomous and non-autonomous second order differential equations with discontinuous right-hand sides. In the plane the discontinuities considered are given by the straight lines either x = 0, or xy = 0. Two applications of these results are made, one to control systems with variable structure, and the other to small external periodic excitation of a discontinuous nonlinear oscillator. (AU) | |
| FAPESP's process: | 07/06896-5 - Geometry of control, dynamical and stochastic systems |
| Grantee: | Luiz Antonio Barrera San Martin |
| Support Opportunities: | Research Projects - Thematic Grants |