Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774686 | Journal of Mathematical Analysis and Applications | 2018 | 29 Pages |
Abstract
This paper establishes rigorously mathematical theorems that guarantee the existence of chaotic oscillations in the systems of second-order linear hyperbolic PDEs. It separately considers the systems with nonlinear explicit boundary conditions (EBCs) and nonlinear implicit boundary conditions (IBCs) as well as those with such IBCs subjected to small perturbations, where IBCs include EBCs as special cases but the latter cannot in general be expressed by the former. Numerical examples are demonstrated to illustrate the effectiveness of theoretical results.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Qigui Yang, Qiaomin Xiang,