Recurrent and periodic points in dendritic Julia sets
Alexander Blokh
TL;DR
This paper explores the relationship between periodic and recurrent points within dendritic Julia sets, extending classical results from interval dynamics to a more complex setting.
Contribution
It generalizes established results for interval dynamics to the context of dendritic Julia sets, providing new insights into their dynamical structure.
Findings
Established a connection between periodic and recurrent points in dendritic Julia sets
Extended classical interval dynamics results to dendritic Julia sets
Enhanced understanding of the dynamical properties of Julia sets
Abstract
We relate periodic and recurrent points in dendritic Julia sets. This generalizes well-known results for interval dynamics.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Differential Equations and Dynamical Systems · Quantum chaos and dynamical systems