Cardinality of survival set for the chaotic Tent map with holes
Loading...
Date
2020
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
2020 International Young Scholars Workshop
Abstract
Abstract. The aim of this paper is to give an overview of the dynamics of one dimensionaldiscrete dynamical systems: Tent map family T_3, Doubling map E_2 and shift map σ are investigated. Let I-intervals(Holes) lie in the interval [0,1) and let E_2 be a Doubling map. The survivor set Ω(I) :={x∈[0,1) : E_nx /∈ I, n≥0}. Depending on location and size of the intervals we will characterize the survivor set Ω(I) infinite or finite. Also we will show conjugacy of some maps that used in this paper. By using conjugacy of functions we will show that the Survivor set is infinite or finite in another composition of maps. The Cantor sets Λ that occur as non-survivor sets for c >2 from Tent map family T_c.[1]
Description
Keywords
dynamical systems, symbolic dynamics, interval maps, survivor sets, chaos, open systems, irregular sets, 2020 International Young Scholars Workshop, №9
Citation
Aitu N , Bayadilova G / Cardinality of survival set for the chaotic Tent map with holes / 2020 International Young Scholars Workshop