Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin

Buzzi, Claudio A. [UNESP]Llibre, JaumeMedrado, João C. R.2022-04-282022-04-282009-12-01Qualitative Theory of Dynamical Systems, v. 7, n. 2, p. 369-403, 2009.1575-54601662-3592http://hdl.handle.net/11449/220102In this paper we classify the global phase portraits of all reversible linear differential systems with cubic homogeneous polynomial nonlinearities defined in the plane and having a non degenerate center at the origin. The reversibility is given by a linear involution having a fixed set of dimension 1. © 2008 Birkhäuser Verlag Basel/Switzerland.369-403engCubic vector fieldsPhase portraitReversible vector fieldsPhase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the originArtigo10.1007/s12346-008-0021-22-s2.0-84896693681