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

โœ Scribed by G. Pastor; M. Romera; F. Montoya

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
974 KB
Volume
232
Category
Article
ISSN
0378-4371

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โœฆ Synopsis

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 M.,j (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 (pattems) of the M.,p and a more efficient algorithm to obtain the patterns of M,,,~ are also shown.

๐Ÿ“œ SIMILAR VOLUMES

Misiurewicz points in one-dimensional qu
Misiurewicz points in one-dimensional quadratic maps
โœ M. Romera; G. Pastor; F. Montoya ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 983 KB

Misiurewicz points are constituted by the set of unstable or repellent points, sometimes called the set of exceptional points. These points, which are preperiodic and eventually periodic, play an important role in the ordering of hyperbolic components of one-dimensional quadratic maps. In this work