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A note about various types of sensitivity in general semiflows

  • Autores: Alica Miller
  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 19, Nº. 2, 2018, págs. 281-289
  • Idioma: inglés
  • DOI: 10.4995/agt.2018.9943
  • Enlaces
  • Resumen
    • We discuss the implications between various types of sensitivity in general semiflows (sensitivity, syndetic sensitivity, thick sensitivity, thick syndetic sensitivity, multisensitivity, periodic sensitivity, thick periodic sensitivity), including the weak mixing as a very strong type of sensitivity and the strong mixing as the strongest of all type of sensitivity.

  • Referencias bibliográficas
    • 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
    • E. Kontorovich, M. Megrelishvili, A note on sensitivity of semigroup actions, Semigroup Forum 76 (2008), 133-141. https://doi.org/10.1007/s00233-007-9033-5
    • 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,...

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