Abstract
© 2017, Instituto de Matemática e Estatística da Universidade de São Paulo. Our main concern is to discuss the existence of periodic orbits for certain piecewise linear differential systems in Rn, where the discontinuity set is a hypersurface Σ. Using the fact that every linear differential system is always completely integrable, we illustrate for two piecewise linear differential systems, one in R3 and the other in R4, how to study analytically their periodic solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 121-135 |
| Journal | Sao Paulo Journal of Mathematical Sciences |
| Volume | 12 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jun 2018 |
Keywords
- Continuous piecewise linear differential systems
- Discontinuous piecewise differential systems
- First integrals
- Periodic orbits
- Periodic solutions