| Full text | |
| Author(s): |
Llibre, Jaume
;
Teixeira, Marco Antonio
Total Authors: 2
|
| Document type: | Journal article |
| Source: | NONLINEAR DYNAMICS; v. 88, n. 1, p. 157-164, APR 2017. |
| Web of Science Citations: | 7 |
| Abstract | |
In this article, we study the planar piecewise differential systems formed by two linear differential systems separated by a straight line, such that both linear differential have no equilibria, neither real nor virtual. When the piecewise differential system is continuous, we show that the system has no limit cycles. But when the piecewise differential system is discontinuous, we show that it can have at most one limit cycle. (AU) | |
| FAPESP's process: | 12/18780-0 - Geometry of control systems, dynamical and stochastics systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |