Classification of the centers and isochronous centers for a class of quartic-like systems
2009; Elsevier BV; Volume: 71; Issue: 7-8 Linguagem: Inglês
10.1016/j.na.2009.01.223
ISSN1873-5215
Autores Tópico(s)Quantum chaos and dynamical systems
ResumoAbstract In this paper we classify the centers and isochronous centers for a class of polynomial differential systems in R 2 of degree d that in complex notation z = x + i y can be written as z = i z + ( z z ¯ ) d − 4 2 ( A z 3 z ¯ + B z 2 z ¯ 2 + C z ¯ 4 ) , where d ≥ 4 is an arbitrary even positive integer and A , B , C ∈ C . Note that if d = 4 we obtain a special case of quartic polynomial differential systems which can have a center at the origin.
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