Chaos of A Class of Generalized Tent Mapping

The chaos of a class of generalized tent mappingsφon 0, 1is studied.It is proved that under particular parameter conditions, for any sub-interval Jof0, 1, there exists a positive integer which enablesφn (J) , thus it can be derived that the mappingsφunder these conditions are topologically transitive.Since topological transitivity of a continuous selfmapping on an interval is equivalent to Devaney chaos, then it can be inferred thatφunder these conditions is Devaney chaos.