On the limit cycles of a class of piecewise linear differential systems in R^4 with two zones
| Autor: | Buzzi, Claudio, Llibre, Jaume, Medrado, Joao Carlos |
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| Jazyk: | angličtina |
| Rok vydání: | 2011 |
| 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: | Agraïments: The first author is partially supported by a FAPESP-BRAZIL grant 07/06896-5. The first and the third authors are partially supported by CNPq and CAPES. All authors are also supported by the joint project CAPES-MECD grant PHB-2009-0025-PC and AUXPE-DGU 15/2010. We study the bifurcation of limit cycles from the periodic orbits of a four-dimensional center in a class of piecewise linear differential systems with two zones. Our main result shows that three is an upper bound for the number of limit cycles that bifurcate from a center, up to first order expansion of the displacement function. Moreover, this upper bound is reached. The main technique used is the averaging method. |
| Databáze: | OpenAIRE |
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