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Covering relations and non-autonomous perturbations of ODEs

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  • Covering relations are a topological tool for detecting periodic orbits, symbolic dynamics and chaotic behavior for autonomous ODE. We extend the method of the covering relations onto systems with a time dependent perturbation. As an example we apply the method to non-autonomous perturbations of the Rössler equations to show that for small perturbation they possess symbolic dynamics.
    Mathematics Subject Classification: Primary: 37B10, 37B55; Secondary: 37B30.


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