Abstract
© 2019, Springer-Verlag Italia S.r.l., part of Springer Nature. A center p of a differential system in R2 is global if R2\ { p} is filled of periodic orbits. It is known that a polynomial differential system of degree 2 has no global centers. Here we characterize the global centers of the differential systems x˙=ax+by+P3(x,y),y˙=cx+dy+Q3(x,y),with P3 and Q3 homogeneous polynomials of degree 3, and such that the center has purely imaginary eigenvalues, i.e. a linear type center.
Original language | English |
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Journal | Rendiconti del Circolo Matematico di Palermo |
DOIs | |
Publication status | Published - 1 Jan 2019 |
Keywords
- Center
- Cubic polynomial differential system
- Global center