Jaume Llibre, Claudia Valls
Abstract:
We study the normal forms of polynomial systems having a set of
invariant algebraic curves with singular points. We provide
sufficient conditions for the existence of hyperbolic algebraic
limit cycles.
Submitted March 3, 2017. Published March 31, 2018.
Math Subject Classifications: 34C05, 34A34, 34C14.
Key Words: Limit cycles; polynomial vector fields; algebraic limit cycles.
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Jaume Llibre Departament de Matemàtiques Universitat Aut&ogfrave;noma de Barcelona 08193 Bellaterra, Barcelona, Catalonia, Spain email: jllibre@mat.uab.cat |
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| Claudia Valls Departamento de Matemática Instituto Superior Técnico Universidade de Lisboa 1049-001 Lisboa, Portugal email: cvalls@math.ist.utl.pt |
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