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.
Acknowledgments
The authors are very grateful to the editor and anonymous referees for their valuable comments which led to a great improvement of the original manuscript.
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Correction Statement
This article has been republished with minor changes. These changes do not impact the academic content of the article.