We have been reviewing a mapping that has three parameters of the equations of generalized ∆ ∆-sine Gordon. The mapping can be derived from a two-dimensional mapping integrabel. In this paper we study the dynamical system obtained by way of interchanging a parameter that exists in the old system with the same parameters in integralnya. We are interested in exploring the relationship between the original mapping with a mapping derived from it. Properties that exist in the original mapping with a mapping of the new results of the exchange of parameters we also compare i.e. putteth properties size, nature, and the reversal of the symmetrical symmetrical. Further, we also analyze the dynamics of the new mapping.
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