A Novel Highly Nonlinear Quadratic System: Impulsive Stabilization, Complexity Analysis, and Circuit Designing

Figure 4

The system’s basin of attractions ( and ). According to our best search, the system has just one attractor. Different initial values of the systems are attracted to the attractor or have unbounded responses. White color is considered for plotting in both (a) and (b) parts for the initial values with unbounded responses. Regions that are attracted to the attractor are plotted with blue color. (a) and (b) are responsible for plates that and , respectively. Because some equilibrium points can be found in blue regions, the system can be categorized in the self-excited class.

(a)

(b)