Generation of multiscroll attractors by controlling the equilibria
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This work shows the generation of multi-scroll attractors in R3 by controlling the equilibrium point of an unstable dissipative system. The switching control signal that governs the position of the equilibrium point changes according to the number of scrolls that is displayed in the attractor. Thus, if two systems display a different number of scrolls they have different control signals. The analysis of their Lyapunov exponents along with some bifurcation diagrams are presented. The possibility of hyper-chaos in R 3 is considered. © 2012 IFAC.
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Chaos theory; Multi-scroll Attractors; Piecewise linear analysis; Switching functions; System design Chaos theory; Chaotic systems; Lyapunov methods; Piecewise linear techniques; Switching functions; Systems analysis; Bifurcation diagram; Control signal; Dissipative systems; Equilibrium point; Lyapunov exponent; Multi-scroll attractors; Piecewise linear; Switching Control; Signal analysis
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