Abstract
We prove that perturbing the two periodic annuli of the quadratic polynomial reversible Lotka-Volterra differential system ̇x = -y + x2 - y2, ẏ = x(1 + 2y), inside the class of all quadratic polynomial differential systems we can obtain the following configurations of limit cycles (0, 0), (1, 0), (2, 0), (1, 1) and (1, 2). © Springer Basel AG 2010.
Original language | English |
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Pages (from-to) | 235-249 |
Journal | Qualitative Theory of Dynamical Systems |
Volume | 9 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - 1 Jan 2010 |
Keywords
- Averaging theory
- Isochronous center
- Limit cycles
- Quadratic vector field