Chaos induced by turbulent and erratic functions
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Let (X, d) be a compact metric space and f: X → X a continuous function and consider the hyperspace (K(X), H) of all nonempty compact subsets of X endowed with the Hausdorff metric induced by d. Let f̄: K(X) → K (X) be defined by f̄(A) = {f(a)/a ∈ A} the natural extension of f to K(X), then the aim of this work is to study the dynamics of f when f is turbulent (erratic, respectively) and its relationships.
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Chaos, Dynamical systems, Erratic functions, Turbulent functions, Compact metric spaces, Compact subsets, Continuous functions, Hausdorff metric, Natural extension, Chaos theory, Fuzzy systems, Fuzzy logic
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Inglês
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2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference, IFSA-EUSFLAT 2009 - Proceedings, p. 231-233.
