Is there a non constant entire  function $\gamma(t)=(x(t),y(t)): \mathbb{C} \to \mathbb{C}^{2}$ which satisfy the following Vander pol dififferential equation?


$$\begin{cases}\dot{x}=y-x^{3}\\\dot y=-x\end{cases}$$


For  a  related question see the last part of the following post:

http://mathoverflow.net/questions/171988/the-error-in-petrovski-and-landis-proof-of-the-16th-hilbert-problem