POINCARE CHAOS FOR A HYPERBOLIC QUASILINEAR SYSTEM

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Date

2019-01-01

Author

Akhmet, Marat
Fen, M. O.
Tleubergenova, M.
Zhamanshin, A.

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The existence of unpredictable motions in systems of quasilinear differential equations with hyperbolic linear part is rigorously proved. We make use of the topology of uniform convergence on compact sets and the contraction mapping principle to prove the existence of unpredictable motions. Appropriate examples with simulations that support the theoretical results are provided.

Subject Keywords

Algebra and Number Theory, Control and Optimization, Analysis, Numerical Analysis, Discrete Mathematics and Combinatorics

URI

https://hdl.handle.net/11511/39119

Journal

MISKOLC MATHEMATICAL NOTES

DOI

https://doi.org/10.18514/mmn.2019.2826

Collections

Department of Mathematics, Article

Citation Formats

M. Akhmet, M. O. Fen, M. Tleubergenova, and A. Zhamanshin, “POINCARE CHAOS FOR A HYPERBOLIC QUASILINEAR SYSTEM,” MISKOLC MATHEMATICAL NOTES, vol. 20, no. 1, pp. 33–44, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39119.