[5] M. Akhmet, Li-Yorke chaos in the system with impacts, J. Math. Anal. Appl., 351 (2009), 804–810. [6] M. Akhmet, Creating a chaos in a system with relay, International Journal of Qualitative Theory of Differential Equations and Applications, 3 (2009) 3–7. [7] M. Akhmet, M.O. Fen, Replication of chaos. Commun. Nonlinear Sci. Numer. Simul. 18 (2013) 2626–2666. [8] H. Poincaré, Les méthodes nouvelles de la mécanique céleste, 1,2, Gauthier-Villars, Paris, 1892. [9] G.D. Birkhoff, Dynamical systems, American Mathematical Society, Colloquium Publications, vol. 9, Providence, 1927. [10] M. Akhmet, M.O. Fen, Unpredictable points and chaos, Commun. Nonlinear Sci. Numer. Simulat. 40 (2016) 1–5. [11] M. Akhmet, M.O. Fen, Existence of unpredictable solutions and chaos, Turk. J. Math. 41 (2017) 254–266. [12] M. Akhmet, M.O. Fen, Poincaré chaos and unpredictable functions, Commun. Nonlinear Sci. Numer. Simulat. 48 (2017) 85–94. [13] M. Akhmet, M.O. Fen, Unpredictable solutions of differential equations, arXiv:1611.05084 (submit- ted). [14] W.L. Ditto, K. Murali, S. Sinha, Chaos computing: ideas and implementations, Phil. Trans. R. Soc. A 366 (2008) 653–664. [15] S. Staingrube, M. Timme, F.Worgotter, P. Mannonpong, Self-organized adaptation of simple neural circuits enables complex robot behavior, Nature Physics 6 (2010) 224–230. [16] G.R. Sell, Topological Dynamics and Ordinary Differential Equations, Van Nostrand Reinhold Com- pany, London, 1971. [17] V. Lakshmikantham, D. Trigiante, Theory of Difference Equations: Numerical Methods and Appli- cations, Marcel Dekker, United States of America, 2002. [18] Y. Shi, P. Yu, On chaos of the logistic maps, Dynam. Contin. Discrete Impuls. Syst. Ser-B 14 (2007) 175–195. [19] J. Hale, H. Koçak, Dynamics and Bifurcations, Springer-Verlag, New York, 1991. [20] S.M. Hammel, J.A. Yorke, C. Grebogi, Do numerical orbits of chaotic dynamical processes represent true orbits?, J. Complexity 3 (1987) 136–145. 10