Unpredictable solutions of linear differential and discrete equations

Authors

MARAT AKHMET
MEHMET ONUR FEN
MADINA TLEUBERGENOVA
AKYLBEK ZHAMANSHIN

Abstract

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 Poincaré chaos. Simulations illustrating the chaos are provided.

DOI

10.3906/mat-1810-86

Keywords

Unpredictable solutions, Poincaré chaos, linear nonhomogeneous systems

First Page

2377

Last Page

2389

Recommended Citation

AKHMET, MARAT; FEN, MEHMET ONUR; TLEUBERGENOVA, MADINA; and ZHAMANSHIN, AKYLBEK (2019) "Unpredictable solutions of linear differential and discrete equations," Turkish Journal of Mathematics: Vol. 43: No. 5, Article 25. https://doi.org/10.3906/mat-1810-86
Available at: https://journals.tubitak.gov.tr/math/vol43/iss5/25