[16] Huang, W. and Ye, X. (2002), Devaney’s chaos or 2-scattering implies Li-Yorke’s chaos, Topology Appl. , 117 , 259-272. [17] Sharkovskii, A.N. (1964), Coexistence of cycles of a continuous map of the line into itself, Ukrainian Mathematical Journal , 16 , 61-71 (In Russian). [18] Myrberg, P.J. (1958), Iteration von Quadratwurzeloperationen. I, Ann. Acad. Sci. Fenn. Ser. A , 256 , 1-10. [19] Myrberg, P.J. (1959), Iteration von Quadratwurzeloperationen. II, Ann. Acad. Sci. Fenn. Ser. A , 268 , 1-10. [20] Myrberg, P.J. (1963), Iteration von Quadratwurzeloperationen. III, Ann. Acad. Sci. Fenn. Ser. A , 336 , 1-10. [21] Sander, E. and Yorke, J.A. (2011), Period-doubling cascades galore, Ergod. Th. & Dynam. Sys. , 31 , 1249-1267. [22] Sander, E. and Yorke, J.A. (2012), Connecting period-doubling cascades to chaos, Int. J. Bifurca- tion and Chaos , 22 , 1250022. [23] Barrio, R., Martinez, M.A., Serrano, S. and Shilnikov, A. (2014), Macro- and micro-chaotic struc- tures in the Hindmarsh-Rose model of bursting neurons, Chaos , 24 , 023128. [24] Lacitignola, D., Petrosillo, I. and Zurlini, G. (2010), Time-dependent regimes of a tourism-based social-ecological system: Period-doubling route to chaos, Ecological Complexity , 7 , 44-54. [25] Hanias, M.P., Avgerinos, Z. and Tombras, G.S. (2009), Period doubling, Feigenbaum constant and time series prediction in an experimental chaotic RLD circuit, Chaos, Solitons & Fractals , 40 , 1050-1059. [26] Simpson, T.B., Liu, J.M., Gavrielides, A., Kovanis, V. and Alsing, P.M. (1994), Period-doubling route to chaos in a semiconductor laser subject to optical injection, Applied Physics Letters , 64 , 3539-3541. [27] Akhmet, M.U. (2009), Li-Yorke chaos in the impact system, J. Math. Anal. Appl. , 351 , 804-810. [28] Akhmet, M.U. (2009), Dynamical synthesis of quasi-minimal sets, Int. J. Bifurcation and Chaos , 19 , 2423-2427. [29] Akhmet, M.U. (2009), Creating a chaos in a system with relay, International Journal of Qualitative Theory of Differential Equations and Applications , 3 , 3-7. 18