Impact of Parameter y10 on System (5) Dynamics: Quasi-periodic, Chaotic, and Hyperchaotic Behavior

The observed correlation between the parameter y10 of system (5) and the state of the system is illustrated in Figure 4. Specifically, it is evident that varying the y10 parameter results in a consequential shift in the system's state, manifesting as either a quasi-periodic orbit, a chaotic orbit, or a hyperchaotic orbit.