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Distributional chaos via isolating segments

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  • Recently, Srzednicki and Wójcik developed a method based on Wazewski Retract Theorem which allows, via construction of so called isolating segments, a proof of topological chaos (positivity of topological entropy) for periodically forced ordinary differential equations. In this paper we show how to arrange isolating segments to prove that a given system exhibits distributional chaos. As an example, we consider planar differential equation

    ż$=(1+e^{i \kappa t}|z|^2)\bar{z}$

    for parameter values $0<\kappa \leq 0.5044$.

    Mathematics Subject Classification: Primary: 34C28; Secondary: 37B30.


    \begin{equation} \\ \end{equation}
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