On the calculation of Misiurewicz patterns in one-dimensional quadratic maps

G. Pastor, M. Romera and F. Montoya

Physica A: Statistical Mechanics and its Applications, 1996, vol. 232, issue 1, 536-553

Abstract: In this work we give for the first time a table with all Misiurewicz points Mn,p for low values of the preperiod and period (2⩽n⩽8, 1⩽p⩽5) in one-dimensional quadratic maps. In the particular case of Mn,1 (important Misiurewicz points which are all placed in the period-1 chaotic band) the preperiod values are (2⩽n⩽11). A brute-force algorithm to obtain all the symbolic sequences (patterns) of the Mn,p and a more efficient algorithm to obtain the patterns of Mn,1 are also shown.

Date: 1996
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:232:y:1996:i:1:p:536-553

DOI: 10.1016/0378-4371(96)00128-8

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