Abstract
© 2019 Elsevier Ltd Phase portraits are an invaluable tool in studying differential systems. Most of known results about global phase portraits are related to the smooth differential systems. This paper deals with a class of planar continuous piecewise linear Liénard differential systems with three zones separated by two vertical lines without symmetry. We provide the topological classification of the phase portraits in the Poincaré disc for systems having a unique singular point located in the middle zone.
Original language | English |
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Pages (from-to) | 149-157 |
Journal | Chaos, Solitons and Fractals |
Volume | 120 |
DOIs | |
Publication status | Published - 1 Mar 2019 |
Keywords
- Limit cycle
- Liénard system
- Phase portrait
- Piecewise linear differential system