Chaotic Map with No Fixed Points: Entropy, Implementation and Control

Van Van Huynh; Adel Ouannas; Xiong Wang; Viet-Thanh Pham; Xuan Quynh Nguyen; Fawaz E. Alsaadi

doi:10.3390/e21030279

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Chaotic Map with No Fixed Points: Entropy, Implementation and Control

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Chaotic Map with No Fixed Points: Entropy, Implementation and Control

Van Van Huynh, Adel Ouannas, Xiong Wang, Viet-Thanh Pham, Xuan Quynh Nguyen and Fawaz E. Alsaadi

Entropy (Basel, Switzerland), Vol.21(3), p.279

14/03/2019

DOI: https://doi.org/10.3390/e21030279

PMID: 33266994

Abstract

approximate entropy

chaos

chaotic map

fixed point

implementation

A map without equilibrium has been proposed and studied in this paper. The proposed map has no fixed point and exhibits chaos. We have investigated its dynamics and shown its chaotic behavior using tools such as return map, bifurcation diagram and Lyapunov exponents’ diagram. Entropy of this new map has been calculated. Using an open micro-controller platform, the map is implemented, and experimental observation is presented. In addition, two control schemes have been proposed to stabilize and synchronize the chaotic map.

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Title: Chaotic Map with No Fixed Points: Entropy, Implementation and Control
Creators - without role: Van Van Huynh - Ton Duc Thang University
Adel Ouannas - Université Larbi Tébessi
Xiong Wang - Shenzhen University
Viet-Thanh Pham - Ton Duc Thang University
Xuan Quynh Nguyen - Ton Duc Thang University
Fawaz E. Alsaadi - King Abdulaziz University
Publication Details: Entropy (Basel, Switzerland), Vol.21(3), p.279
Publisher: MDPI
Identifiers: 9936479308331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article