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In this study,the extension of chaos in difference equations is discussed.The theoretical results are based on the chaos in the sense of Devaney as well as period-doubling cascade.A theoretical control technique for the extended chaos is indicated.The presented results are appropriate to obtain arbitrarily high dimensional chaotic discrete-time dynamical systems.The results are supported with the aid of simulations.A discrete gonorrhea model is utilized to generate chaotic behavior in population dynamics.