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High Quality Content by WIKIPEDIA articles! The Zaslavskii map is a discrete-time dynamical system. It is an example of a dynamical system that exhibits chaotic behavior. The Zaslavskii map takes a point (xn,yn) in the plane and maps it to a new point:where mod is the modulo operator with real arguments. The map depends on four constants , , and r. Russel (1980) gives a Hausdorff dimension of 1.39 but Grassberger (1983) questions this value based on their difficulties measuring the correlation dimension.