The Fractional Form of the Tinkerbell Map Is Chaotic

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ID: 33205
2018
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Abstract
This paper is concerned with a fractional Caputo-difference form of the well-known Tinkerbell chaotic map. The dynamics of the proposed map are investigated numerically through phase plots, bifurcation diagrams, and Lyapunov exponents considered from different perspectives. In addition, a stabilization controller is proposed, and the asymptotic convergence of the states is established by means of the stability theory of linear fractional discrete systems. Numerical results are employed to confirm the analytical findings.
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ouannas2018theapplied Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Ouannas, Adel;Khennaoui, Amina-Aicha;Bendoukha, Samir;Vo, Thoai Phu;Pham, Viet-Thanh;Huynh, Van Van;
Journal applied sciences
Year 2018
DOI
DOI not found
URL
https://www.mdpi.com/2076-3417/8/12/2640
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