Analysis, Stabilization, and DSP-Based Implementation of a Chaotic System with Nonhyperbolic Equilibrium

Table 1

Equilibrium points and eigenvalues of system (1).

Equilibrium point	Eigenvalues	Type of equilibrium point
P0 (0, 0, 0)	λ1 = −1, λ2 = 3, λ3 = 0	Nonhyperbolic
P1 (0.6847, 0.1141, 0.25)	λ1 = 1.1087 + 0.6279i,; λ2 = 1.1087 – 0.6279i,; λ3 = −1.1549	Hyperbolic
P2 (–0.6847, -0.1141, 0.25)	λ1 = 1.1087 + 0.6279i,; λ2 = 1.1087 – 0.6279i,; λ3 = −1.1549	Hyperbolic