Computer assisted proof of chaotic dynamics in the Rössler map

Daniel Wilczak

DOI: http://dx.doi.org/10.12775/TMNA.2001.030

Abstract


In this paper we present the proof of the existence of symbolic
dynamics for third iterate of the Rössler map. We combine an
abstract topological results based on the fixed point index and
covering relations with computer assisted rigorous computations.

Keywords


Dynamical systems; fixed point index; covering relations; rigorous numerical analysis

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