@misc{10498/35471,
year = {2016},
url = {http://hdl.handle.net/10498/35471},
abstract = {The existence of distributional chaos and distributional irregular
vectors has been recently considered in the study of linear dynamics of operators
and C0-semigroups. In this paper we extend some previous results on both
notions to sequences of operators, C0-semigroups, C-regularized semigroups,
and  $\alpha$-times integrated semigroups on Fr echet spaces. We also add a study of
rescaled distributionally chaotic C0-semigroups. Some examples are provided
to illustrate all these results.},
keywords = {Distributional chaos},
keywords = {integrated semigroups},
keywords = {C-regularized semigroups},
keywords = {cosine functions},
keywords = {abstract time-fractional equations},
keywords = {hypercyclicity},
keywords = {well-posedness},
keywords = {Fréchet spaces},
title = {Distributionally chaotic families of operators on Fréchet spaces},
doi = {10.3934/CPAA.2016.15.1915},
author = {Conejero, J.A. and Kostic, Marko and Miana, Pedro J. and Murillo Arcila, Marina},
}