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POINCARE CHAOS FOR A HYPERBOLIC QUASILINEAR SYSTEM
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Date
2019-01-01
Author
Akhmet, Marat
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
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M. Akhmet, M. Tleubergenova, and A. Zhamanshin, “POINCARE CHAOS FOR A HYPERBOLIC QUASILINEAR SYSTEM,”
MISKOLC MATHEMATICAL NOTES
, pp. 33–44, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39119.