Computer assisted proof of chaotic dynamics in the Rössler map

Authors

  • Daniel Wilczak

Keywords

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

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.

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Published

2001-09-01

How to Cite

1.
WILCZAK, Daniel. Computer assisted proof of chaotic dynamics in the Rössler map. Topological Methods in Nonlinear Analysis [online]. 1 September 2001, T. 18, nr 1, s. 183–190. [accessed 31.1.2023].

Issue

Vol 18, No 1 (September 2001)

Section

Articles

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