Jaume Llibre, Bruno D. Lopes, Jaime R. de Moraes
Abstract:
We obtain an explicit polynomial whose simple positive real roots
provide the limit cycles which bifurcate from the periodic orbits
of any cubic homogeneous polynomial center when it is perturbed
inside the class of all polynomial differential systems of degree n.
Submitted October 8, 2014. Published October 21, 2015.
Math Subject Classifications: 37C10, 34H99.
Key Words: Polinomial vector field; limit cycle; averaging method;
periodic orbit; isochronous center; homogeneous cubic centers.
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Jaume Llibre Departament de Matemàtiques Universitat Autònoma de Barcelona 08193 Bellaterra, Barcelona, Catalonia, Spain email: jllibre@mat.uab.cat |
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Bruno D. Lopes Departamento de Matemática - IBILCE-UNESP Rua C. Colombo, 2265, CEP 15054-000 S. J. Rio Preto, São Paulo, Brazil email: brunodomicianolopes@gmail.com |
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Jaime R. de Moraes Curso de Matemática - UEMS Rodovia Dourados-Itaum Km 12 CEP 79804-970 Dourados Mato Grosso do Sul, Brazil email: jaime@uems.br |
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