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Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line |
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| Authors: | Shimin Li Jaume Llibre |
| Institution: | 1. School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou, 510320, PR China;2. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain |
| Abstract: | 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. |
| Keywords: | 34C37 34C07 37G15 Phase portraits Piecewise linear differential system Limit cycle |
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