Chaos analysis for a class of hyperbolic equations with nonlinear boundary conditions

被引：1

作者：

Xiang, Qiaomin ^{[1
]}

Zhu, Pengxian ^{[2
]}

Wu, Chufen ^{[1
]}

机构：

[1] Foshan Univ, Sch Math & Big Data, Foshan, Peoples R China

[2] Guangzhou Coll Technol & Business, Basic Teaching Dept, Guangzhou, Peoples R China

来源：

APPLICABLE ANALYSIS | 2022年 / 101卷 / 04期

关键词：

Chaos; snap-back repeller theory; hyperbolic equation; nonlinear boundary condition; DIMENSIONAL WAVE-EQUATION; DYNAMICAL-SYSTEMS; VAN; VIBRATIONS; REPELLERS;

D O I：

10.1080/00036811.2020.1781824

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A system governed by a one-dimensional hyperbolic equation with a mixing transport term and both ends being general nonlinear boundary conditions is considered in this paper. By using the snap-back repeller theory, we rigorously prove that the system is chaotic in the sense of both Devaney and Li-Yorke when the system parameters satisfy certain conditions. Finally, numerical simulations are further presented to illustrate the theoretical results.

引用

页码：1383 / 1395

页数：13

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