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

Figure 2

Lyapunov exponents and bifurcation diagrams for different values. (a) The systems’ two larger Lyapunov exponents are plotted. Periodic behaviors (one Lyapunov exponent negative and one zero), torus behaviors (when both Lyapunov exponents are zero), and chaotic behavior (one Lyapunov exponent is zero and another one is positive) can be seen in the diagram. (b) The bifurcation diagram of the system is plotted when the period-doubling route to chaos (from right to left) and period windows can be observed in the diagram.

(a)

(b)