On the dynamics, control and synchronization of fractional-order Ikeda map.
In: Chaos, Solitons & Fractals, Jg. 123 (2019-06-01), S. 108-115
Online
serialPeriodical
Zugriff:
• A fractional Caputo-difference form of Ikeda map is presented. • Chaotic dynamics of fractional Ikeda map is studied. • Control schemes to stabilize and synchronize fractional Ikeda map are discussed. This paper is concerned with a fractional Caputo-difference form of Ikeda map. The dynamics of the proposed map is investigated numerically through phase plots and bifurcation diagrams considered from different perspectives. In addition, a stabilization controller is proposed and the asymptotic convergence of the states is established using the stability theory of linear fractional-order discrete systems. Furthermore, a new synchronization scheme is introduced whereby a new 2D fractional-order chaotic map is considered as the master system and the fractional-order Ikeda map is considered as the response system. Experimental investigations and numerical simulations are also provided to confirm the main findings of the study. [ABSTRACT FROM AUTHOR]
Titel: |
On the dynamics, control and synchronization of fractional-order Ikeda map.
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Autor/in / Beteiligte Person: | Ouannas, Adel ; Khennaoui, Amina-Aicha ; Odibat, Zaid ; Pham, Viet-Thanh ; Grassi, Giuseppe |
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Zeitschrift: | Chaos, Solitons & Fractals, Jg. 123 (2019-06-01), S. 108-115 |
Veröffentlichung: | 2019 |
Medientyp: | serialPeriodical |
ISSN: | 0960-0779 (print) |
DOI: | 10.1016/j.chaos.2019.04.002 |
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