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

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...

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Detalles Bibliográficos
Autores principales: Huynh, Van Van, Ouannas, Adel, Wang, Xiong, Pham, Viet-Thanh, Nguyen, Xuan Quynh, Alsaadi, Fawaz E.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514759/
https://www.ncbi.nlm.nih.gov/pubmed/33266994
http://dx.doi.org/10.3390/e21030279
Descripción
Sumario: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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