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Chaos analysis for a class of hyperbolic equations with nonlinear boundary conditions.
- Source :
- Applicable Analysis; 2022, Vol. 101 Issue 4, p1383-1395, 13p
- Publication Year :
- 2022
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 101
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 156378379
- Full Text :
- https://doi.org/10.1080/00036811.2020.1781824