Abstract:
After reviewing the definition and some implications of chaos, I will discuss three recent advances in chaos theory which have implications for fuzzy logic and its applications. One advance is how to control nonlinear chaotic systems by small calculatable perturbations. Another advance is improved methods for forecasting nonlinear time series by local approximations to the underlying strange attractor. A third advance is recent numerical simulations of model partial differential equations, which indicate how high-dimensional temporal chaos and spatial modes are interrelated.
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