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ABSTRACT In this paper, we give the normal form of all planar polynomial vector fields of degree d ≤ 3 having two nonconcentric circles C1 and C2 as invariant algebraic… Click to show full abstract
ABSTRACT In this paper, we give the normal form of all planar polynomial vector fields of degree d ≤ 3 having two nonconcentric circles C1 and C2 as invariant algebraic curves and the function , with α and β real values, as first integral. Moreover, we classify all global phase portraits on the Poincaré disc of a subclass of these vector fields.
Keywords:
vector;
circles invariant;
nonconcentric circles;
two nonconcentric;
vector fields;
invariant algebraic
Journal Title: Dynamical Systems
Year Published: 2017
Link to full text (if available)
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Journal Title: Dynamical Systems
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!