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Research report: DEIM-RR-05-007

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DEIM-RR-05-007 (655.9Kb)
Number of Downloads: 2695

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.