POINCARE CHAOS FOR A HYPERBOLIC QUASILINEAR SYSTEM

Date

2019-01-01

Author

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

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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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

Collections

Department of Mathematics, Article