On δ -deformations of Polygonal Dendrites

Dmitry Drozdov, Mary Samuel, Andrei Tetenov

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Abstract

We find the conditions under which the attractor K(S) of a deformation S of a contractible P-polygonal system S in R2 is a dendrite. The most important one is the parameter matching condition at the points where the images of the vertices of the polygon P meet.

Original languageEnglish
Title of host publicationTopological Dynamics and Topological Data Analysis, IWCTA 2018
EditorsRobert L. Devaney, Kit C. Chan, P. B. Vinod Kumar
PublisherSpringer, Cham
Pages147-164
Number of pages18
ISBN (Print)9789811601736
DOIs
Publication statusPublished - 2021
Event1st International Workshop and Conference on Topological Dynamics and Topological Data Analysis, IWCTA 2018 - Kochi, India
Duration: 9 Dec 201811 Dec 2018

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume350
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference1st International Workshop and Conference on Topological Dynamics and Topological Data Analysis, IWCTA 2018
CountryIndia
CityKochi
Period09.12.201811.12.2018

Keywords

  • Attractor
  • Generalized polygonal system
  • Parameter matching theorem
  • Post-critically finite set
  • Self-similar dendrite
  • Zipper

OECD FOS+WOS

  • 1.01 MATHEMATICS

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