Abstract
© 2018 Elsevier Inc. This paper provides the classification of the phase portraits in the Poincaré disc of all piecewise linear continuous differential systems with two zones separated by a straight line having a unique finite singular point which is a node or a focus. The sufficient and necessary conditions for existence and uniqueness of limit cycles are also given.
| Original language | English |
|---|---|
| Pages (from-to) | 8094-8109 |
| Journal | Journal of Differential Equations |
| Volume | 266 |
| DOIs | |
| Publication status | Published - 5 Jun 2019 |
Keywords
- Limit cycle
- Phase portraits
- Piecewise linear differential system