Chaotic vibrations of 3D linear hyperbolic PDEs with linear perturbations of superlinear boundary conditions

Autor:	Qigui Yang, Qiaomin Xiang
Rok vydání:	2022
Předmět:	Nonlinear Sciences::Chaotic Dynamics Partial differential equation Dynamical systems theory Applied Mathematics Chaotic Applied mathematics Boundary value problem Space (mathematics) Mathematical theorem Analysis Chaotic vibration Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 507:125743
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2021.125743
Popis:	This article studies the chaotic vibrations of the infinite-dimensional dynamical systems governed by linear hyperbolic partial differential equations (PDEs) in three-dimensional (3D) space, where the boundary conditions include two linear perturbations of superlinear types. A rigorous mathematical theorem that guarantees the occurrence of chaos of such systems is obtained. The main theme of this article is the advancement of existing chaos to 3D hyperbolic PDEs. As applications, two examples are provided for showing the effectiveness of the theoretical chaotic results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::460403615366bd52a41b126f87b18ca1 https://doi.org/10.1016/j.jmaa.2021.125743 Zobrazit plný text záznamu Full Text from ScienceDirect