We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions.
- Authors
Xiang, Qiaomin; Yang, Qigui
- Abstract
This paper is dedicated to investigating the chaos of a initial-boundary value (IBV) problem of a multi-dimensional weakly hyperbolic equation subject to two general nonlinear boundary conditions (NBCs). The existence and uniqueness of solution for the IBV problem are established. By employing the snap-back repeller and heteroclinic cycle theories, it has been proven that the IBV problem with a linear and a general NBCs exhibits chaos in the sense of both Devaney and Li–Yorke. Furthermore, these chaotic results are extended to the IBV problem with two general NBCs. Two stability criteria of the IBV problem are established, respectively, for the corresponding two cases of boundary conditions. Finally, numerical simulations are presented to illustrate the theoretical results.
- Subjects
NONLINEAR equations; HYPERBOLIC differential equations; STABILITY criterion; COMPUTER simulation
- Publication
Journal of Nonlinear Science, 2024, Vol 34, Issue 4, p1
- ISSN
0938-8974
- Publication type
Article
- DOI
10.1007/s00332-024-10038-2