Bifurcations, Hidden Chaos and Control in Fractional Maps
Recently, hidden attractors with stable equilibria have received considerable attention in chaos theory and nonlinear dynamical systems. Based on discrete fractional calculus, this paper proposes a simple two-dimensional and three-dimensional fractional maps. Both fractional maps are chaotic and hav...
Main Authors: | Adel Ouannas, Othman Abdullah Almatroud, Amina Aicha Khennaoui, Mohammad Mossa Alsawalha, Dumitru Baleanu, Van Van Huynh, Viet-Thanh Pham |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2020-05-01
|
Series: | Symmetry |
Subjects: | |
Online Access: | https://www.mdpi.com/2073-8994/12/6/879 |
Similar Items
-
A Quadratic Fractional Map without Equilibria: Bifurcation, 0–1 Test, Complexity, Entropy, and Control
by: Adel Ouannas, et al.
Published: (2020-05-01) -
Fractional Form of a Chaotic Map without Fixed Points: Chaos, Entropy and Control
by: Adel Ouannas, et al.
Published: (2018-09-01) -
Dynamic Analysis and DSP Implementation of Memristor Chaotic Systems with Multiple Forms of Hidden Attractors
by: Zhenggang Guo, et al.
Published: (2022-12-01) -
Dynamical Analysis of a New Chaotic Fractional Discrete-Time System and Its Control
by: A. Othman Almatroud, et al.
Published: (2020-11-01) -
Dynamical Analysis of a New Chaotic System: Hidden Attractor, Coexisting-Attractors, Offset Boosting, and DSP Realization
by: Junjie Wen, et al.
Published: (2021-01-01)