On δ-deformations of polygonal dendrites

2018/12/02 by Dmitry Drozdov, Drozdov, Dmitry, Mary Samuel +2
Mathematics · #28A80 #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1812.00439

openalex publication_date 2018/12/02 · openalex created_date 2022/09/12 · openalex updated_date 2026/07/28

Abstract

We find the conditions under which the attractor K(S') of a deformation S' of a contractible polygonal system S is a dendrite.

Related

• On Dendrites Generated By Symmetric Polygonal Systems: The Case of Regular Polygons
• On dendrites, generated by polyhedral systems and their ramification points
• Self-Similar Dendrites Generated by Polygonal Systems in the Plane
• A Self-Similar Dendrite with One-Point Intersection and Infinite Post-Critical Set
• On the shape of attractors of discrete dynamical systems