Abstract
We show that the system over(x, ̇) = y, over(y, ̇) = - f (x) y - g (x) with f, g polynomials of degree 1 and 3 respectively cannot have simultaneously an algebraic invariant curve and a limit cycle. © 2006.
Original language | English |
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Pages (from-to) | 428-441 |
Journal | Bulletin des Sciences Mathematiques |
Volume | 130 |
Issue number | 5 |
DOIs | |
Publication status | Published - 1 Jul 2006 |
Keywords
- Algebraic limit cycles
- Liénard system
- Limit cycles