Problem of stability and chaotic properties of multidimensional Lasota equation in the context of Matuszewska-Orlicz indices

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:449

Article

Dawidowicz, Antoni Leon¹  Poskrobko, Anna² 

[1] Jagiellonian Univ, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland

[2] Bialystok Tech Univ, Fac Comp Sci, Ul Wiejska 45A, PL-15351 Bialystok, Poland

关键词: Lasota equation;    Chaos;    Stability;    Orlicz space;    Matuszewska-Orlicz indices;   

DOI  :  10.1016/j.jmaa.2016.12.082

来源: Elsevier

【 摘 要 】

We study asymptotic properties of the dynamical system generated by the multidimensional Lasota equation. We give the conditions of its stability and chaos in the sense of Devaney in Orlicz spaces. We apply Matuszewska-Orlicz indices to a description of asymptotic behavior of the considered semigroup. We analyze also the conditions under which asymptotic behavior for more general form of the equation is provided. An example illustrates the criteria when the semigroups generated by the equations have not asymptotic behavior. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free