Of results and discussion that was submitted before it can be concluded that, (1) 2-dimensional mapping derived from a generalized equation of ∆ ∆-sine Gordon is a special form of a family of 12-parameter mapping QRT; (2) replace an existing parameter in the system with the parameter that exists in the integral yields a new mapping with a fixed point and a periodic point-2 which is equal to the original mapping; (3) the results of the Mapping parameterization reversing properties provide symmetric birthday which also belongs to the original mapping.
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