12/16/2023 0 Comments Isd hyperspaces into executor![]() " On turbulent, erratic and other dynamical properties of Zadeh’s extensions,"Ĭhaos, Solitons & Fractals, Elsevier, vol. " Chaos for multivalued maps and induced hyperspace maps,"Ĭhaos, Solitons & Fractals, Elsevier, vol. ![]() " Some chaotic properties of Zadeh’s extensions,"Ĭhaos, Solitons & Fractals, Elsevier, vol. " Sensitivity for set-valued maps induced by M-systems,"Ĭhaos, Solitons & Fractals, Elsevier, vol. Hou, Bingzhe & Liao, Gongfu & Liu, Heng, 2008." The set-valued mapping induced by a non-minimal transitive system is Li–Yorke chaotic,"Ĭhaos, Solitons & Fractals, Elsevier, vol. Liu, Heng & Liao, Gongfu & Hou, Bingzhe, 2009." A framework of induced hyperspace dynamical systems equipped with the hit-or-miss topology,"Ĭhaos, Solitons & Fractals, Elsevier, vol. Wang, Yangeng & Wei, Guo & Campbell, William H." Topological entropy and chaos for maps induced on hyperspaces,"Ĭhaos, Solitons & Fractals, Elsevier, vol. Kwietniak, Dominik & Oprocha, Piotr, 2007.Félix Martínez-Giménez & Alfred Peris & Francisco Rodenas, 2021.Daniel Jardón & Iván Sánchez & Manuel Sanchis, 2020." Mixing properties of set-valued maps on hyperspaces via Furstenberg families,"Ĭhaos, Solitons & Fractals, Elsevier, vol. " Topological entropy for induced hyperspace maps,"Ĭhaos, Solitons & Fractals, Elsevier, vol. These are the items that most often cite the same works as this one and are cited by the same works as this one. Actually, our examples give an even more precise conclusion: the classical result stating that transitivity is a sufficient condition for an autonomous discrete dynamical system on the interval to be Devaney chaotic fails to be true for nonautonomous dynamical systems. We also present examples of nonautonomous discrete dynamical systems showing that transitivity, density of periodic points and sensitive dependence on initial conditions are independents on the unit interval, i.e., unlike autonomous discrete dynamical systems, in definition of Devaney chaotic there are not redundant conditions for NDS on the interval. We consider properties like transitivity, weakly mixing, points with dense orbit, density of periodic points, among others. We study the interaction of some dynamical properties of a nonautonomous discrete dynamical system (X, f∞) and its induced nonautonomous discrete dynamical system (K(X),f∞¯), where K(X) is the hyperspace of non-empty compact sets in X, endowed with the Vietoris topology.
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