Open AccessUnpredictable solutions of linear differential and discrete equations
Author(s) -
Marat Akhmet,
Mehmet Onur Fen,
Madina Tleubergenova,
Akylbek Zhamanshin
Publication year - 2019
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1810-86
Subject(s) - mathematics , uniqueness , chaos (operating system) , linear differential equation , differential equation , mathematical analysis , computer science , computer security
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.
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