On the chaotic behaviour of size structured cell populations

We show that the solution of a model describing size structured cell populations exhibits chaotic behaviour, for a certain range of parameters. The analysis depends on a uniqueness property in ℓ 2 , treated in Appendix A.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2008-03, Vol.339 (2), p.918-924
Main Authors: El Mourchid, S., Metafune, G., Rhandi, A., Voigt, J.
Format: Article
Language:English
Subjects:
Cell population
Chaotic
Exact sciences and technology
Group theory
Group theory and generalizations
Hypercyclic
Mathematical analysis
Mathematics
Sciences and techniques of general use
Strongly continuous semigroup
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Description
Summary:We show that the solution of a model describing size structured cell populations exhibits chaotic behaviour, for a certain range of parameters. The analysis depends on a uniqueness property in ℓ 2 , treated in Appendix A.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2007.07.034