Limit cycles of continuous and discontinuous piecewise-linear differential systems in R³
| Autor: | De Freitas, Bruno R., Llibre, Jaume, Medrado, Joao Carlos |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Recercat. Dipósit de la Recerca de Catalunya instname Recercat: Dipósit de la Recerca de Catalunya Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) Dipòsit Digital de Documents de la UAB Universitat Autònoma de Barcelona |
| Popis: | We study the limit cycles of two families of piecewise-linear differential systems in R³ with two pieces separated by a plane Ʃ. In one family the differential systems are only continuous on the plane Ʃ, and in the other family they are only discontinuous on the plane Ʃ. The usual tool for studying these limit cycles is the Poincaré map, but here we shall use recent results which extend the averaging theory to continuous and discontinuous differential systems. All the computations have been checked with the algebraic manipulator mathematica. |
| Databáze: | OpenAIRE |
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