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• W2016078491 abstract "The concepts of collective sensitivity and compact-type collective sensitivity are introduced as stronger conditions than the traditional sensitivity for dynamical systems and Hausdorff locally compact second countable (HLCSC) dynamical systems, respectively. It is proved that sensitivity of the induced hyperspace system defined on the space of non-empty compact subsets or non-empty finite subsets (Vietoris topology) is equivalent to the collective sensitivity of the original system; sensitivity of the induced hyperspace system defined on the space of all non-empty closed subsets (hit-or-miss topology) is equivalent to the compact-type collective sensitivity of the original HLCSC system. Moreover, relations between these two concepts and other dynamics concepts that describe chaos are investigated." @default.
• W2016078491 created "2016-06-24" @default.
• W2016078491 creator A5043668833 @default.
• W2016078491 creator A5046635734 @default.
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• W2016078491 date "2009-02-01" @default.
• W2016078491 modified "2023-09-23" @default.
• W2016078491 title "Sensitive dependence on initial conditions between dynamical systems and their induced hyperspace dynamical systems" @default.
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• W2016078491 doi "https://doi.org/10.1016/j.topol.2008.10.014" @default.
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