Unusual maps and their use to approach usual ones

Z. Kaufmann, P. Szépfalusy, T. Tél

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

One-dimensional maps coupled to discrete valued variables are introduced. They are designed to describe the motion in Lorenz and Hénon type systems on branched manifolds arising by expanding the maps in powers of the inverse dissipation strength, or by coarse graining. The maps are studied in detail along the crisis line where they exhibit complex behaviour with periodic and chaotic attractors. The convergence to the Hénon map is investigated numerically and found to be satisfactory for not too weak dissipations.

Original languageEnglish
Pages (from-to)321-346
Number of pages26
JournalActa Physica Hungarica
Volume62
Issue number2-4
DOIs
Publication statusPublished - Oct 1987

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Unusual maps and their use to approach usual ones. / Kaufmann, Z.; Szépfalusy, P.; Tél, T.

In: Acta Physica Hungarica, Vol. 62, No. 2-4, 10.1987, p. 321-346.

Research output: Contribution to journalArticle

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