We study the parameters range for the fixed point of a class of complex
dynamics with the rational fractional function as
Rn,a,c​(z)=zn+zna​+c, where n=1,2,3,4 is specified, a and c
are two complex parameters. The relationship between two parameters, a and
c, is obtained at the fixed point. Moreover the explicit expression of the
parameter a and c in terms of λ is derived, where λ is the
derivative function at fixed point. The parameter regimes for the stability of
the fixed point are presented numerically for some typical different cases.Comment: 15 pages, 6 figure