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Mathematical Communications, Vol. 6 No. 1, 2001.

Original scientific paper

The dynamics of some cubic vector fields with a center

V. Županović

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page 11-27

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Abstract

We study planar cubic vector fields
\[V_H=yP_2\frac{\partial}{\partial x}-x Q_2\frac{\partial}{\partial y}\] with a center, having Darboux first integral $H=P_1^2Q_3$. We give the bifurcation diagram of the phase portraits of the vector fields, in 2-dimensional parameter space.

Keywords

cubic vector fields

Hrčak ID:

832

URI

https://hrcak.srce.hr/832

Publication date:

20.6.2001.

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