Nonmonotonicity Height of PM Functions with two Non-Monotone Points
It is well known that the nonmonotonicity height of each monotone function is zero.However,the situation is very complicated for non-monotone functions.Since the variation of nonmonotonicity height is related to the construction of iterative roots,it be-comes an important subject in dynamical systems.Based on the previous work about N-type PM functions,we continue to discuss the classification of nonmonotonicity height for PM functions with two non-monotone points,and then a completed analysis of nonmonotonicity height is given for such functions,which helps to study their dynamic properties.
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