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.
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