Unpredictable solutions of linear differential and discrete equations

Authors : Marat AKHMET, Mehmet Onur FEN, Madina TLEUBERGENOVA, Akylbek ZHAMANSHIN

Pages : 2377-2389

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Publication Date : 0000-00-00

Article Type : Research Paper

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.
Keywords : Unpredictable solutions, Poincaré chaos, linear nonhomogeneous systems