Over-rotation numbers for unimodal maps
A. Blokh, K. Snider
TL;DR
This paper introduces twist unimodal maps, explores their structure, and provides conditions for the growth of over-rotation intervals in families of such maps.
Contribution
It defines twist unimodal maps and establishes criteria for over-rotation interval growth, advancing understanding of their dynamical behavior.
Findings
Introduction of twist unimodal maps
Conditions for over-rotation interval growth
Structural description of the maps
Abstract
We introduce {\it twist unimodal maps} of the interval and describe their structure. Sufficient conditions for the growth of over-rotation interval in families of maps are given.
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Taxonomy
TopicsMathematical Dynamics and Fractals