Omega-limit sets and robust stability for switched systems with distinct equilibria
Sign Up to like & getrecommendations! Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2020.12.2515
Abstract: Abstract This work characterizes the asymptotic behavior that results from switching among asymptotically stable systems with distinct equilibria when the switching frequency satisfies an average dwell-time constraint with a small average rate. The asymptotic characterization… read more here.
Keywords: distinct equilibria; system; systems distinct; omega limit ... See more keywords
Shadowing, internal chain transitivity and α-limit sets
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124291
Abstract: Abstract Let f : X → X be a continuous map on a compact metric space X and let α f , ω f and I C T f denote the set of α-limit sets,… read more here.
Keywords: chain; limit set; limit; limit sets ... See more keywords
The space of ω-limit sets for Baire-1 functions on the interval
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DOI: 10.1016/j.topol.2018.08.008
Abstract: Abstract Let I = [ 0 , 1 ] with b B 1 the set of Baire-1 self-maps of I. There exists S a residual subset of b B 1 such that for any f… read more here.
Keywords: sets baire; baire functions; limit; space limit ... See more keywords
Spaces where all closed sets are α-limit sets
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DOI: 10.1016/j.topol.2022.108035
Abstract: Metrizable spaces are studied in which every closed set is an α-limit set for some continuous map and some point. It is shown that this property is enjoyed by every space containing sufficiently many arcs… read more here.
Keywords: spaces closed; sets limit; limit sets; closed sets ... See more keywords
On functions determined by limit sets and the quasi-Świątkowski property
Sign Up to like & getrecommendations! Published in 2019 at "Quaestiones Mathematicae"
DOI: 10.2989/16073606.2019.1632386
Abstract: Abstract We introduce and investigate the class of functions determined by limit sets for which at each point the intersection of the sets of left-hand and right-hand limit numbers is singleton containing value of function… read more here.
Keywords: functions determined; sets quasi; limit sets; determined limit ... See more keywords
On α-Limit Sets in Lorenz Maps
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DOI: 10.3390/e23091153
Abstract: The aim of this paper is to show that α-limit sets in Lorenz maps do not have to be completely invariant. This highlights unexpected dynamical behavior in these maps, showing gaps existing in the literature.… read more here.
Keywords: limit sets; sets lorenz; lorenz maps;