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Fuzzy chaos generators for nonlinear dynamical systems

A fuzzy chaos generator is proposed for chaotifying nonlinear dynamical systems via Tanaka-Sugeno (TS) fuzzy modeling. A discrete-time or continuous-time nonlinear system can first be formulated as a TS fuzzy model, and then a fuzzy anti-controller can be designed to make the nonlinear system chaotic. The generation of chaos is mathematically rigorous in the sense of Li & Yorke. An example is included to visualize the effect of the chaos generation method.