On persistent centers |
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Authors: | Anna Cima Armengol Gasull |
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Institution: | a Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain b Instituto de Matemática e Estatística, Universidade Federal de Goiás, 74001-970 Goiânia, Goiás, Brazil |
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Abstract: | For real planar autonomous analytic differential equations we introduce the notion of persistent center and show a list of equations with this property. We face the problem of whether our list is exhaustive or not and we prove that it is for several families of planar systems, like cubic or rigid systems. |
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Keywords: | 34C25 37C27 |
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