On Chaos Behaviour of Nonlinear Lasota Equation in Lebesgue Space-Reference-Cited by-同舟云学术

On Chaos Behaviour of Nonlinear Lasota Equation in Lebesgue Space

Published:2020-07-28 Issue:2 Volume:27 Page:371-378
ISSN:1079-2724
Container-title:Journal of Dynamical and Control Systems
language:en
Short-container-title:J Dyn Control Syst

Author:

Dawidowicz Antoni Leon,Poskrobko Anna^ORCID

Abstract

AbstractWe concern the asymptotic behaviour of the dynamical systems induced by nonlinear Lasota equation. We study chaoticity in the sense of Devaney and strong stability of the system. In many articles authors consider the properties of the linear version of the equation. By the construction of the operator in the separable space, we can formulate the relations between the solutions of the linear equation and its nonlinear version in Lebesgue space. The aim of the paper is to present the detailed construction of the operator thanks to which, the study of simple relationships allows determining the chaotic behaviour of the nonlinear equation.

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering

Link

https://link.springer.com/content/pdf/10.1007/s10883-020-09505-2.pdf

Reference16 articles.

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2. Chang YH, Hong CH. The chaos of the solution semigroup for the quasi-linear Lasota equation. Taiwanese J Math 2012;16:1707–1717.

3. Dawidowicz AL, Haribash N, Poskrobko A. On the invariant measure for the quasi-linear Lasota equation. Math Methods Appl Sci 2007;30:779–787.

4. Dawidowicz AL, Poskrobko A. Asymptotic properties of the Lasota equation in various functional spaces. AIP Conf Proc 1926 2018;020012:79–93.

5. Dawidowicz AL, Poskrobko A. Asymptotic properties of the von Foerster-Lasota equation and indices of Orlicz spaces. Electron J Differ Eq 2016;2016(300): 1–9.

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