Homogeneous cubic centers - Search Results - UAB Digital Repository of Documents

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10 p, 660.0 KB

Cubic homogeneous polynomial centers / Li, Chengzhi (Peking University. School of Mathematical Sciences and LMAM) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
First, doing a combination of analytical and algebraic computations, we determine by first time an explicit normal form depending only on three parameters for all cubic homogeneous polynomial differential systems having a center. [...]
2014 - DOI (Digital Object Identifier)

10.5565/PUBLMAT_Extra14_16
Publicacions matemàtiques, Vol. Extra (2014) , p. 297-308

2 documents

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9 p, 622.6 KB

Limit cycles bifurcating from the periodic annulus of cubic homogeneous polynomial centers / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Lopes, Bruno D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; De Moraes, Jaime Rezende (IBILCE-UNESP(Brazil). Departamento de Matemática)
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.
2015
Electronic journal of differential equations, Vol. 2015 Núm. 271 (2015) , p. 1-8

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