**Edit 1:** For a related discussion see this MSE post

I apologize in advance, if this question is obvious:

1)What is an example of a polynomial vector field on $\mathbb{R}^{2}$ with at least two limit cycles $\gamma_{1},\; \gamma_{2}$ such that they lie on the same leaf of the corresponding singular holomorphic foliation of $\mathbb{C}^{2}$?

2)I have the same question by replacing "they lie on the same leaf" with "they lie on different leaves"

An indirect (or may be direct) motivation for this question is the following lemma in a celebrated paper of Petrovski and Landis "On the number of limit cycles of the equation ${dy\over dx}={P(x, y)\over Q(x, y)}$, where $P$ and $Q$ are polynomials of 2nd degree" :

"Lemma: If two distinct limit cycles of a real polynomial vector fields lie on the same complex leaf and they are homolog to each other, then the leaf is an algebraic curve"