The Fractional Form of the Tinkerbell Map Is Chaotic

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 stabilizat...

Full description

Bibliographic Details
Main Authors: Adel Ouannas, Amina-Aicha Khennaoui, Samir Bendoukha, Thoai Phu Vo, Viet-Thanh Pham, Van Van Huynh
Format: Article
Language:English
Published: MDPI AG 2018-12-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/8/12/2640