scholarly journals Julia sets of random exponential maps

2021 ◽  
Author(s):  
Krzysztof Lech
Keyword(s):  
Julia Sets ◽  
Exponential Maps

Julia Sets of Joukowski-Exponential Maps

2013 ◽  
Vol 8 (5) ◽  
pp. 1061-1076 ◽  
Author(s):  
Tarakanta Nayak ◽  
M. Guru Prem Prasad
Keyword(s):  
Julia Sets ◽  
Exponential Maps

FIXED POINTS-JULIA SETS

2020 ◽  
Vol 9 (9) ◽  
pp. 6759-6763
Author(s):  
G. Subathra ◽  
G. Jayalalitha
Keyword(s):  
Fixed Points ◽  
Julia Sets

Dynamics of a family of orbitally continuous mappings

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3507-3517
Author(s):  
Abhijit Pant ◽  
R.P. Pant ◽  
Kuldeep Prakash
Keyword(s):  
Fixed Points ◽  
Julia Sets ◽  
Real Numbers ◽  
Continuous Mappings ◽  
Non Linear

The aim of the present paper is to study the dynamics of a class of orbitally continuous non-linear mappings defined on the set of real numbers and to apply the results on dynamics of functions to obtain tests of divisibility. We show that this class of mappings contains chaotic mappings. We also draw Julia sets of certain iterations related to multiple lowering mappings and employ the variations in the complexity of Julia sets to illustrate the results on the quotient and remainder. The notion of orbital continuity was introduced by Lj. B. Ciric and is an important tool in establishing existence of fixed points.

scholarly journals On the dimension of points which escape to infinity at given rate under exponential iteration

2021 ◽  
pp. 1-33
Author(s):  
KRZYSZTOF BARAŃSKI ◽  
BOGUSŁAWA KARPIŃSKA
Keyword(s):  
Packing Dimension ◽  
Exponential Maps

Abstract We prove a number of results concerning the Hausdorff and packing dimension of sets of points which escape (at least in average) to infinity at a given rate under non-autonomous iteration of exponential maps. In particular, we generalize the results proved by Sixsmith in 2016 and answer his question on annular itineraries for exponential maps.

scholarly journals Locally connected models for Julia sets

2011 ◽  
Vol 226 (2) ◽  
pp. 1621-1661 ◽  
Author(s):  
Alexander M. Blokh ◽  
Clinton P. Curry ◽  
Lex G. Oversteegen
Keyword(s):  
Julia Sets

Fractal analysis and control of the competition model

2016 ◽  
Vol 09 (03) ◽  
pp. 1650045 ◽  
Author(s):  
Mianmian Zhang ◽  
Yongping Zhang
Keyword(s):  
Feedback Control ◽  
Mathematical Models ◽  
Fractal Analysis ◽  
Fractal Geometry ◽  
Julia Set ◽  
Julia Sets ◽  
Competition Model ◽  
Simulation Results ◽  
Population Competition ◽  
And Control

Lotka–Volterra population competition model plays an important role in mathematical models. In this paper, Julia set of the competition model is introduced by use of the ideas and methods of Julia set in fractal geometry. Then feedback control is taken on the Julia set of the model. And synchronization of two different Julia sets of the model with different parameters is discussed, which makes one Julia set change to be another. The simulation results show the efficacy of these methods.

scholarly journals Quasisymmetric geometry of the Julia sets of McMullen maps

2018 ◽  
Vol 61 (12) ◽  
pp. 2283-2298 ◽  
Author(s):  
Weiyuan Qiu ◽  
Fei Yang ◽  
Yongcheng Yin
Keyword(s):  
Julia Sets
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