Year 2021, Volume 3 , Issue 1, Pages 34 - 42 2021-06-30

Discrete Superior Hyperbolicity in Chaotic Maps

Ashish ASHİSH [1] , Jinde CAO [2] , Fawaz ALSAADİ [3] , A. K. MALİK [4]


In the last few decades, the dynamics of one-dimensional chaotic maps have gained the tremendous attention of scientists and scholars due to their remarkable properties such as period-doubling, chaotic evolution, Lyapunov exponent, etc. The term hyperbolicity, another important property of chaotic maps is used to examine the regular and irregular behavior of the dynamical systems. In this article, we deal with the hyperbolicity and stabilization of fixed states using a superior two-step feedback system. Due to the superiority in the chaotic evolution of one-dimensional maps in the superior system we are encouraged to examine the hyperbolicity and stabilization in chaotic maps. The hyperbolic notion, hyperbolicity in periodic states of prime order, stabilization, and the hyperbolic set of the chaotic maps are studied. The numerical, as well as experimental simulations, are carried out, followed by theorems, examples, remarks, functional plots, and bifurcation diagrams.
Chaos, Hyperbolicity, Bifurcation Plot, Chaotic Maps
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Primary Language en
Subjects Computer Science, Interdisciplinary Application
Journal Section Research Articles
Authors

Orcid: 0000-0001-9598-3393
Author: Ashish ASHİSH (Primary Author)
Institution: Government College Satnali
Country: India


Orcid: 0000-0003-3133-7119
Author: Jinde CAO
Institution: Southeast University, Nanjing, China
Country: China


Orcid: 0000-0003-0041-3158
Author: Fawaz ALSAADİ
Institution: King Abdulaziz University
Country: Saudi Arabia


Orcid: 0000-0002-1520-0115
Author: A. K. MALİK
Institution: BKBIET, Pilani
Country: India


Supporting Institution King Abdulaziz University, Jeddah, Saudi Arabia
Project Number FP-108-42
Thanks Thanks.
Dates

Publication Date : June 30, 2021

APA Ashish, A , Cao, J , Alsaadi, F , Malik, A . (2021). Discrete Superior Hyperbolicity in Chaotic Maps . Chaos Theory and Applications , 3 (1) , 34-42 . DOI: 10.51537/chaos.936679