Title of article
On the 16th Hilbert problem for algebraic limit cycles
Author/Authors
Jaume Llibre، نويسنده , , Rafael Ramirez، نويسنده , , Natalia Sadovskaia، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
9
From page
1401
To page
1409
Abstract
For a polynomial planar vector field of degree n 2 with generic invariant algebraic curves we show that the maximum number of algebraic limit cycles is 1+(n−1)(n−2)/2 when n is even, and (n−1)(n−2)/2 when n is odd. Furthermore, these upper bounds are reached
Keywords
Limit cyclesAlgebraic limit cyclesPolynomial vector fields16th Hilbert problem
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year
2010
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
751700
Link To Document