On the dynamics of a Caputo-like discrete fractional Rössler system: chaos, stabilization and synchronization. (1st March 2022)

• Record Type: Journal Article
• Authors: Azil, Souaad; Odibat, Zaid; Shawagfeh, Nabil
• Is Part Of: Physica scripta. Volume 97:Number 3(2022)
• Publication Date: 2022-03-01
• Subjects: Chaos -- Rössler system -- one scroll attractor -- Lyapunov exponent -- Caputo-like difference operator -- synchronization; Physics -- Periodicals; 530.05
• DOI: 10.1088/1402-4896/ac518f
• Languages: English
• ISSNs: 0031-8949

Abstract

Abstract: This study examines the dynamics of a novel Caputo-like discrete fractional Rössler system. The dynamics of this discrete fractional system are numerically analyzed using phase portraits, bifurcation diagrams and Lyapunov exponents. The study confirmed the existence of chaos in the proposed system where one scroll chaotic attractors are displayed. Control laws are presented to force the states of the proposed system to converge asymptotically to zero and to exhibit complete synchronization of coupled Caputo-like discrete fractional Rössler systems. Numerical simulations are introduced to illustrate the findings of this study.