Yıl: 2021 Cilt: 3 Sayı: 1 Sayfa Aralığı: 34 - 42 Metin Dili: İngilizce DOI: 10.51537/chaos.936679 İndeks Tarihi: 29-07-2022

Discrete Superior Hyperbolicity in Chaotic Maps

Öz:
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.
Anahtar Kelime: Bifurcation Plot Chaotic Maps Chaos Hyperbolicity

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA ASHİSH A, Cao J, Alsaadi F, MALIK D (2021). Discrete Superior Hyperbolicity in Chaotic Maps. , 34 - 42. 10.51537/chaos.936679
Chicago ASHİSH Ashish,Cao Jinde,Alsaadi Fawaz,MALIK Dr. A K Discrete Superior Hyperbolicity in Chaotic Maps. (2021): 34 - 42. 10.51537/chaos.936679
MLA ASHİSH Ashish,Cao Jinde,Alsaadi Fawaz,MALIK Dr. A K Discrete Superior Hyperbolicity in Chaotic Maps. , 2021, ss.34 - 42. 10.51537/chaos.936679
AMA ASHİSH A,Cao J,Alsaadi F,MALIK D Discrete Superior Hyperbolicity in Chaotic Maps. . 2021; 34 - 42. 10.51537/chaos.936679
Vancouver ASHİSH A,Cao J,Alsaadi F,MALIK D Discrete Superior Hyperbolicity in Chaotic Maps. . 2021; 34 - 42. 10.51537/chaos.936679
IEEE ASHİSH A,Cao J,Alsaadi F,MALIK D "Discrete Superior Hyperbolicity in Chaotic Maps." , ss.34 - 42, 2021. 10.51537/chaos.936679
ISNAD ASHİSH, Ashish vd. "Discrete Superior Hyperbolicity in Chaotic Maps". (2021), 34-42. https://doi.org/10.51537/chaos.936679
APA ASHİSH A, Cao J, Alsaadi F, MALIK D (2021). Discrete Superior Hyperbolicity in Chaotic Maps. Chaos Theory and Applications, 3(1), 34 - 42. 10.51537/chaos.936679
Chicago ASHİSH Ashish,Cao Jinde,Alsaadi Fawaz,MALIK Dr. A K Discrete Superior Hyperbolicity in Chaotic Maps. Chaos Theory and Applications 3, no.1 (2021): 34 - 42. 10.51537/chaos.936679
MLA ASHİSH Ashish,Cao Jinde,Alsaadi Fawaz,MALIK Dr. A K Discrete Superior Hyperbolicity in Chaotic Maps. Chaos Theory and Applications, vol.3, no.1, 2021, ss.34 - 42. 10.51537/chaos.936679
AMA ASHİSH A,Cao J,Alsaadi F,MALIK D Discrete Superior Hyperbolicity in Chaotic Maps. Chaos Theory and Applications. 2021; 3(1): 34 - 42. 10.51537/chaos.936679
Vancouver ASHİSH A,Cao J,Alsaadi F,MALIK D Discrete Superior Hyperbolicity in Chaotic Maps. Chaos Theory and Applications. 2021; 3(1): 34 - 42. 10.51537/chaos.936679
IEEE ASHİSH A,Cao J,Alsaadi F,MALIK D "Discrete Superior Hyperbolicity in Chaotic Maps." Chaos Theory and Applications, 3, ss.34 - 42, 2021. 10.51537/chaos.936679
ISNAD ASHİSH, Ashish vd. "Discrete Superior Hyperbolicity in Chaotic Maps". Chaos Theory and Applications 3/1 (2021), 34-42. https://doi.org/10.51537/chaos.936679