“…The Logistic map, also known as the insect population model in ecology [ 21 ], is a typical nonlinear chaotic system, which is highly sensitive to the initial state [ 1 ] and can produce complex chaotic behaviors [ 33 ]. This system has been widely used in the research field of medical image encryption [ 1 , 7 , 8 , 10 , 12 , 17 , 20 – 22 , 24 , 27 , 28 , 33 , 37 , 39 , 40 , 43 , 47 , 53 , 54 , 62 , 65 , 68 , 73 , 74 , 76 , 77 ]. The original 1-D Logistic chaotic map can be defined by the following Eq.…”