Research report: DEIM-RR-05-007
Title
Polynomial planar vector field with two algebraic invariant curves
Author/s
N. Sadovskaia and R. Ramírez I.
Date
20-09-2005
Research report type
Recerca
Language
Anglés
Number of pages
17
Summary
We construct a polynomial planar vector field of degree n with two invariant algebraic curves. For such system we prove that the maximum number of algebraic limit cycles is (1/2)(n-1)(n-2)+1.