Abstract
May R.M. gave the example of the family of cubic maps of the interval . Rogers T. D. extends the analysis of May beyond that region . “
 In this paper we are trying to introduce comprehensive study of the cubic family which defined in the form:
 The fixed points of the family are determined and described according to the values of the parameter . Dynamical and chaotic behaviours of the family discussed according to different definitions of chaos and via conjugacy .
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