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A note about various types of sensitivity in general semiflows

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A note about various types of sensitivity in general semiflows

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Miller, A. (2018). A note about various types of sensitivity in general semiflows. Applied General Topology. 19(2):281-289. https://doi.org/10.4995/agt.2018.9943

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Título: A note about various types of sensitivity in general semiflows
Autor: Miller, Alica
Fecha difusión:
Resumen:
[EN] We discuss the implications between various types of sensitivity in general semiflows (sensitivity, syndetic sensitivity, thick sensitivity, thick syndetic sensitivity, multisensitivity, periodic sensitivity, thick ...[+]
Palabras clave: Sensitivity , Strong mixing , Weak mixing , Strong sensitivity , Multisensitivity , Syndetic sensitivity , Thick sensitivity , Thick syndetic sensitivity , Periodic sensitivity , Thick periodic sensitivity
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.2018.9943
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2018.9943
Código del Proyecto:
info:eu-repo/grantAgreement/NSF//1405815/US/Semiflows with arbitrary acting topological semigroups/
Agradecimientos:
I would like to thank the referee for the careful reading and good questions, which helped to signi cantly improve the presentation of this article.The author was partially supported by the National Science ...[+]
Tipo: Artículo

References

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E. Glasner and D. Maon, Rigidity in topological dynamics, Ergod. Th. & Dynam. Sys.9 (1989), 309-320. https://doi.org/10.1017/S0143385700004983

L. He, X. Yan and L. Wang, Weak-mixing implies sensitive dependence, J. Math. Anal.Appl. 299 (2004), 300-304. https://doi.org/10.1016/j.jmaa.2004.06.066 [+]
E. Glasner, Ergodic Theory via Joinings, Mathematical Surveys and Monographs, American Mathematical Society, 2003. https://doi.org/10.1090/surv/101

E. Glasner and D. Maon, Rigidity in topological dynamics, Ergod. Th. & Dynam. Sys.9 (1989), 309-320. https://doi.org/10.1017/S0143385700004983

L. He, X. Yan and L. Wang, Weak-mixing implies sensitive dependence, J. Math. Anal.Appl. 299 (2004), 300-304. https://doi.org/10.1016/j.jmaa.2004.06.066

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H. Liu, L. Liao and L. Wang, Thickly syndetical sensitivity of topological dynamical system, Discrete Dyn. Nature Soc. 2014, Article ID 583431.

A. Miller, Weak mixing in general semiflows implies multi-sensitivity, but not thick sensitivity, J. Nonlinear Sci. Appl., to appear.

A. Miller and C. Money, Chaos-related properties on the product of semiflows, TurkishJ. Math. 41 (2017), 1323-1336. https://doi.org/10.3906/mat-1612-39

T. S. Moothathu, Stronger forms of sensitivity for dynamical systems, Nonlinaerity 20 (2007), 2115-2126. https://doi.org/10.1088/0951-7715/20/9/006

T. Wang, J. Yin and Q. Yan, The sufficient conditions for dynamical systems of semi-group actions to have some stronger forms of sensitivities, J. Nonlinear Sci. Appl. 9(2016), 989-997. https://doi.org/10.22436/jnsa.009.03.27

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