Abstract
© 2018 American Institute of Mathematical Sciences. All Rights Reserved. We prove that for a quadratic polynomial differential system having three pairs of diametrally opposite equilibrium points at infinity that are positively rationally independent, has at most one algebraic limit cycle. Our result provides a partial positive answer to the following conjecture: Quadratic polynomial differential systems have at most one algebraic limit cycle.
| Original language | English |
|---|---|
| Pages (from-to) | 2475-2485 |
| Journal | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 23 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Aug 2018 |