Perturbing the system ẋ= - y(1 + x) ẏ = x(1 + x), ż = 0 inside the family of polynomial differential systems of degree n in ℝ 3, we obtain at most n 2 limit cycles using the first-order averaging theory. Moreover, there exist such perturbed systems having at least n 2 limit cycles. © Springer Science+Business Media, LLC 2007.
|Journal||Journal of Dynamical and Control Systems|
|Publication status||Published - 1 Oct 2007|
- Averaging theory
- Limit cycle
- Linear center
- Polynomial differential system