Copyright © 2010 Huoyun Wang et al. This is an open access article distributed under the
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We introduce and study some concepts of sensitivity via Furstenberg
families. A dynamical system is -sensitive if there exists a positive such that for every and every open neighborhood of there exists such
that the pair is not --asymptotic; that is, the time set belongs to , where is a Furstenberg family. A dynamical system
is (, )-sensitive if there is a positive such that every is a limit of points such that the pair is -proximal but not --asymptotic; that is, the time set belongs to for any positive but the time set belongs to , where
and are Furstenberg families.