This is the abstract of the paper
  "Chaos for a class of linear kinetic models"
by J. Banasiak and M. Lachowicz.

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Abstract:
In the recent  years it was observed that the chaotic behaviour can occur in
some infinite--dimensional linear systems. One of the first examples of this
type, related to death processes, was discussed in a paper by Protopopescu and
Azmy. In this paper we generalize their result to the variable coefficients
case showing that the property of being chaotic can be in certain sense stable.
On the other hand we show that the "opposite" birth process cannot be chaotic.

Key words: chaos, birth and death process,
hypercyclic operators, kinetic model

AMS Subject Classification: 34G10, 47D06,47N60

J. Banasiak, School of Mathematical and Statistical
Sciences, University of Natal, Durban, South Africa

M. Lachowicz, Institute of Applied Mathematics
and Mechanics, University of Warsaw, ul. Banacha 2, Warsaw, Poland

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