Chaotic oscillations of a linear hyperbolic PDE with a general nonlinear boundary condition

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:472

Article

Xiang, Qiaomin¹  Yang, Qigui¹ 

[1] South China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China

关键词: Chaotic oscillation;    Hyperbolic partial differential equation;    General nonlinear boundary condition;   

DOI  :  10.1016/j.jmaa.2018.10.083

来源: Elsevier

【 摘 要 】

This article establishes a theorem that guarantees the occurrence of chaotic oscillations in a system governed by a linear hyperbolic partial differential equation (PDE) with a nonlinear boundary condition (NBC). Compared with the NBCs in all previous related literature, such an NBC is more general. Both the left end and the right end of the system parameter interval for the occurrence of chaotic oscillations are precisely characterized. The chaotic results obtained are further applied to two specific NBCs and the telegraph equation. Finally, numerical examples verify the effectiveness of theoretical prediction. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free