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Lifting Dynamical Properties to Hyperspaces

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Lifting Dynamical Properties to Hyperspaces

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Masood, D.; Singh, P. (2014). Lifting Dynamical Properties to Hyperspaces. Applied General Topology. 15(2):175-181. https://doi.org/10.4995/agt.2014.1841

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Metadatos del ítem

Título: Lifting Dynamical Properties to Hyperspaces
Autor: Masood, Dania Singh, Pooja
Fecha difusión:
Resumen:
[EN] For a dynamical system (X,f), the passage of various dynamical properties such as transitivity, total transitivity, weakly mixing, mixing, topological exactness, topological conjugacy, to the hyperspace C(X) of X ...[+]
Palabras clave: Transitivity , Total transitivity , Weakly mixing , Mixing , Topological exactness , Topological conjugacy , Vietoris topology , Hyperspace suspension
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2014.1841
Editorial:
Editorial Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2014.1841
Tipo: Artículo

References

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R. L. Devaney, An introduction to chaotic dynamical systems, Redwood City, Addison-Wesley, 1989. [+]
Banks, J. (2005). Chaos for induced hyperspace maps. Chaos, Solitons & Fractals, 25(3), 681-685. doi:10.1016/j.chaos.2004.11.089

J. J. Charatonik, Recent Research in Hyperspace Theory, Extracta Math. 18 (2003), 235-262.

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Kwietniak, D., & Oprocha, P. (2007). Topological entropy and chaos for maps induced on hyperspaces. Chaos, Solitons & Fractals, 33(1), 76-86. doi:10.1016/j.chaos.2005.12.033

S. B. Nadler, Hyperspaces of sets, M. Dekker, New York and Basel, 1978.

Román-Flores, H. (2003). A note on transitivity in set-valued discrete systems. Chaos, Solitons & Fractals, 17(1), 99-104. doi:10.1016/s0960-0779(02)00406-x

S. Ruette, Chaos for continuous interval maps, Universit$acute{e$ Paris-Sud, 91405 Orsay, Cedex - France (2003).

Sharma, P., & Nagar, A. (2010). Topological dynamics on hyperspaces. Applied General Topology, 11(1), 1-19. doi:10.4995/agt.2010.1724

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