Hyperbolicity and Averaging for the Srzednicki-Wójcik equation

For the Srzednicki-Wójcik equation, the planar nonautonomous ODE parameterized by $κ\in \mathbb{R}$, $z'=\overline{z}(1+ |z|^2 \exp(i κt)), \qquad z(t) \in \mathbb{C}$ using averaging we show how the region of hyperbolicty grows with $|κ|$. Based on this we give bounds on the sizes of bounded orbits.

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