A Three-Dimensional Autonomous System with a Parabolic Equilibrium: Dynamical Analysis, Adaptive Synchronization via Relay Coupling, and Applications to Steganography and Chaos Encryption

Figure 4

Cross section of the basins of attraction of the two attractors in the xy-plane at z = 0. Initial conditions in the white region lead to unbounded orbits, those in the red region are exactly on the curve equilibrium (it can be seen that there is no basin for the curve of equilibria which proves that the equilibrium is unstable), and those in the light blue region lead to the strange attractor shown in cross section as black dots.