Unpredictable solutions of linear differential and discrete equations

Date

2019-01-01

Author

Akhmet, Marat
Tleubergenova, Madina
Zhamanshin, Akylbek

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The existence and uniqueness of unpredictable solutions in the dynamics of nonhomogeneous linear systems of differential and discrete equations are investigated. The hyperbolic cases are under discussion. The presence of unpredictable solutions confirms the existence of Poincare chaos. Simulations illustrating the chaos are provided.

Subject Keywords

Unpredictable solutions, Poincare chaos, linear nonhomogeneous systems

URI

https://hdl.handle.net/11511/45734

Journal

TURKISH JOURNAL OF MATHEMATICS

DOI

https://doi.org/10.3906/mat-1810-86

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet, M. Tleubergenova, and A. Zhamanshin, “Unpredictable solutions of linear differential and discrete equations,” TURKISH JOURNAL OF MATHEMATICS, pp. 2377–2389, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/45734.