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Analysis of a Chaotic System with Line Equilibrium and Its Application to Secure Communications Using a Descriptor Observer

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Figure

Figure 2. The three main categories of systems with hidden attractors.
Figure 3.Symmetric system’s attractors in (plane, fora) x1 − x2 plane, (b) x1 − x3 plane, and (c) x2 − x3 a=3 and initial conditions (x1(0), x2(0), x3(0))=(1, 0.5, 1), with red color,and (x1(0), x2(0), x3(0)) = (−1, −0.5, 1), with blue color.
Figure 4. (a) Bifurcation diagram (blue) (with same initial conditions in each iteration) and continuationdiagram (red) (with different initial conditions in each iteration), and (b) Lyapunov Exponents (LE) ofsystem (1) versus parameter a.
Figure 6. Cont.
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