Hide/Show Apps

Unpredictable solutions of linear differential and discrete equations

Akhmet, Marat
Fen, Mehmet Onur
Tleubergenova, Madina
Zhamanshin, Akylbek
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.