Chaos, entropy and a generalized extension principle

DOI10.1016/0165-0114(94)90170-8zbMath0827.58037OpenAlexW2058051195MaRDI QIDQ1896294

Phil Diamond, Alexei V. Pokrovskii

Publication date: 7 September 1995

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-0114(94)90170-8

zbMATH Keywords

dynamical systemtopological entropyfuzzificationLi-Yorke chaos

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Entropy in general topology (54C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fuzzy sets and logic (in connection with information, communication, or circuits theory) (94D05)

Related Items (18)

On the topological entropy on the space of fuzzy numbers ⋮ On turbulent, erratic and other dynamical properties of Zadeh's extensions ⋮ On approximations of Zadeh's extension principle ⋮ Expansive properties of induced dynamical systems ⋮ Some chaotic properties of discrete fuzzy dynamical systems ⋮ Dynamics and topological entropy for Zadeh's extension of a compact system ⋮ On Devaney chaotic induced fuzzy and set-valued dynamical systems ⋮ Some chaotic and mixing properties of fuzzified dynamical systems ⋮ Some chaotic properties of Zadeh's extensions ⋮ Dynamical systems over the space of upper semicontinuous fuzzy sets ⋮ Topological entropy of fuzzified dynamical systems ⋮ On fuzzifications of discrete dynamical systems ⋮ On fuzzifications of non-autonomous dynamical systems ⋮ Sensitivity and transitivity of fuzzified dynamical systems ⋮ Generalized extension principle for non-normal fuzzy sets ⋮ Fuzzy homoclinic orbits and commuting fuzzifications ⋮ Chaotic dynamics in quasi-static systems: Theory and applications ⋮ Discrete dynamical systems in \(L\)-topological spaces

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• Rational Choice and Erratic Behaviour
• On Devaney's Definition of Chaos
• Chaotic behaviour of systems of difference equations
• Period Three Implies Chaos
• Ergodic theory of chaos and strange attractors

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