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

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2009-12-01

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In 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.

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Cubic vector fields, Phase portrait, Reversible vector fields

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Qualitative Theory of Dynamical Systems, v. 7, n. 2, p. 369-403, 2009.

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