Chaos in hyperspaces of nonautonomous discrete systems
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
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https://doi.org/10.1016/j.chaos.2016.11.009 |
Metadatos
Título
Chaos in hyperspaces of nonautonomous discrete systemsFecha de publicación
2017Editor
ElsevierISSN
0960-0779Cita bibliográfica
SÁNCHEZ, Iván; SANCHIS, Manuel; VILLANUEVA, Hugo. Chaos in hyperspaces of nonautonomous discrete systems. Chaos, Solitons & Fractals, 2017, vol. 94, p. 68-74.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.sciencedirect.com/science/article/pii/S0960077916303368Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
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 ... [+]
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. We consider properties like transitivity, weakly mixing, points with dense orbit, density of periodic points, among others. 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. 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. [-]
Publicado en
Chaos, Solitons & Fractals, 2017, vol. 94, p. 68-74Proyecto de investigación
CONACyT of Mexico / 259783; Apoyo a la Incorporacion de Nuevos PTC, PRODEP-SEP / DSA/103.5/14/10906Derechos de acceso
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