Chaos for a class of linear kinetic models

Citation
J. Banasiak et M. Lachowicz, Chaos for a class of linear kinetic models, CR A S IIB, 329(6), 2001, pp. 439-444
Citations number
5
Categorie Soggetti
Mechanical Engineering
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE
ISSN journal
16207742 → ACNP
Volume
329
Issue
6
Year of publication
2001
Pages
439 - 444
Database
ISI
SICI code
1620-7742(200106)329:6<439:CFACOL>2.0.ZU;2-O
Abstract
In recent years it was observed that chaotic behaviour can occur in some in finite-dimensional linear systems. An example of this type, related to a ki netic model (death process), has been previously reported. In this paper we generalize these earlier results to the case of variable coefficients, sho wing that the property of being chaotic can be in a certain sense stable. O n the other hand the 'opposite' birth process cannot be chaotic. (C) 2001 A cademie des sciences/Editions scientifiques et medicales Elsevier SAS.