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Román-Flores, H.; Chalco-Cano, Y.

Some chaotic properties of Zadeh’s extensions. (English) Zbl 1142.37308

Chaos Solitons Fractals 35, No. 3, 452-459 (2008).
Summary: The aim of this paper is to study some chaotic aspects for the discrete fuzzy system \(u_{n+1} = \hat f (u_n)\), where \(\hat f \) is the Zadeh’s extension of a continuous function \(f:X \rightarrow X\).

Cited in 2 Reviews
Cited in 25 Documents

MSC:

37B99 Topological dynamics
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
39A10 Additive difference equations
39B12 Iteration theory, iterative and composite equations

Keywords:

transitivity; periodic density; sensitive dependence of the initial conditions; Devaney’s chaos; discrete fuzzy system
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\textit{H. Román-Flores} and \textit{Y. Chalco-Cano}, Chaos Solitons Fractals 35, No. 3, 452--459 (2008; Zbl 1142.37308)
Full Text: DOI

References:

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