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Volume 4 / Issue 2

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DOI:   10.3217/jucs-004-02-0114

 

Rigorous Numerical Studies of the Existence of Periodic Orbits for the Hénon Map

Zbigniew Galias (Department of Electrical Engineering University of Mining and Metallurgy Kraków, Poland)

Abstract: In this paper we perform a rigorous study of the Hénon map. We prove with computer assistance the existence of symbolic dynamics for h2 and h7 and the existence of periodic orbits of all periods but 3 and 5.

Keywords: chaos, computer assisted proof, interval arithmetic.