Phase portraits of quadratic planar polynomial foliations are classified. Recently several papers deal with the phase portraits of cubic polynomial foliations. In this paper we determine all phase portraits of cubic planar polynomial foliations defined by all vector fields having the first component equal to a non-zero constant and the second one equal to an arbitrary cubic polynomial.
|Journal||Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm|
|Publication status||Published - 1 Mar 1998|