CONTROLLING OF CHAOTIC RUCKLIDGE SYSTEM WITH DYNAMICAL BEHAVIORS
In this article, we study the basic concept of the Rucklidge system, a generalized Lorenz-like system. First, we have tried to explain which systems are generalized Lorenz-like systems. Then, we have concentrated on some dynamical characteristics, including nonlinearity, stability, and instability; sensitivity to numerical inaccuracy, sensitivity to initial conditions; vector field analysis; time series analysis, strange attractor, and bifurcation of the Rucklidge System. Mainly, controlling the chaos of this system is our main focus. Moreover, we have also displayed the two-scroll chaotic attractor of this system. Finally, we have controlled the Rucklidge system through trajectories for different parameter values. We have found a boundary of parameter values where the system has minimum oscillation, is non-periodic, or may be chaotic.
Chaos; Strange Attractor; Sensitivity; Bifurcation; Time Series; Chaotification, Three dimensional, Lorenz-Like System