一类平面二次齐次多项式映射的多项式型迭代根

Polynomial Iterative Roots of a Class of Planar Quadratic Homogeneous Polynomial Mappings

根据平面二次多项式映射的保次条件,具体研究了其保次条件A42类中二次齐次映射的多项式形式的迭代根存在的充要条件,并在一些情形下计算出了迭代根的表达式.

In this paper, based on degree-preserving condition of planar quadratic polynomial mapping given by the predecessors, we give the necessary and sufficient condition for a class of planar quadratic homogeneous polynomial mappings to have polynomial iterative roots under degree-preserving condition A42. Further, we obtain the expressions of some iterative roots.