Non-existence of wandering intervals for asymmetric unimodal maps
Jorge Olivares-Vinales, Weixiao Shen
TL;DR
This paper proves that asymmetric unimodal maps do not have wandering intervals, contributing to the understanding of their dynamical behavior.
Contribution
It establishes the non-existence of wandering intervals specifically for asymmetric unimodal maps, a result previously unknown.
Findings
No wandering intervals in asymmetric unimodal maps
Advances understanding of their dynamical structure
Supports conjectures about unimodal map dynamics
Abstract
We prove that an asymmetric unimodal map has no wandering intervals.
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Taxonomy
TopicsHistorical Geography and Cartography