© 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.
|Journal||Journal of Differential Equations|
|Publication status||Published - 5 Jun 2019|
- Limit cycle
- Phase portraits
- Piecewise linear differential system