On the Fractional-Order Complex Cosine Map: Fractal Analysis, Julia Set Control and Synchronization

In this paper, we introduce a generalized complex discrete fractional-order cosine map. Dynamical analysis of the proposed complex fractional order map is examined. The existence and stability characteristics of the map’s fixed points are explored. The existence of fractal Mandelbrot sets and Julia...

Full description

Bibliographic Details
Main Authors: A. A. Elsadany, A. Aldurayhim, H. N. Agiza, Amr Elsonbaty
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/3/727