𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Kneading plane of the circle map

✍ Scribed by Wei-Mou Zheng

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
843 KB
Volume
4
Category
Article
ISSN
0960-0779

No coin nor oath required. For personal study only.

✦ Synopsis

The kneading plane spanned by the pair of kneading sequences for maps of a circle to itself is the parameter space directly reflecting the dynamics.

The structure of the kneading plane is analysed, a method for construction of the kneading plane proposed, and the constructed kneading plane shown.

πŸ“œ SIMILAR VOLUMES

Corrections to scaling in the circle map
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✍ Wen-Jer Tzeng; Tzong Chen Yu; Bambi Hu; Chin-Kun Hu πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 193 KB
Infinite Kneading Matrices and Weighted
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✍ V. Baladi πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 729 KB

We consider a piecewise continuous, piecewise monotone interval map and a weight of bounded variation, constant on homtervals and continuous at periodic points of the map. With these data we associate a sequence of weighted MilnorThurston kneading matrices, converging to a countable matrix with coef