Go home now Header Background Image
Submission Procedure
share: |
Follow us
Volume 4 / Issue 2

available in:   PDF (266 kB) PS (88 kB)
Similar Docs BibTeX   Write a comment
Links into Future
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.