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arXiv · 1607.02611

Hyperbolicity and Averaging for the Srzednicki-W\'ojcik equation

Piotr Zgliczyński
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Abstract

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

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Piotr Zgliczyński. 2016-07-09. Hyperbolicity and Averaging for the Srzednicki-W\'ojcik equation. https://arxiv.org/abs/1607.02611

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