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    YOU Jie. Chaos of A Class of Generalized Tent MappingJ. Journal of Neijiang Normal University, 2018, (4): 53-56. DOI: 10.13603/j.cnki.51-1621/z.2018.04.010
    Citation: YOU Jie. Chaos of A Class of Generalized Tent MappingJ. Journal of Neijiang Normal University, 2018, (4): 53-56. DOI: 10.13603/j.cnki.51-1621/z.2018.04.010
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    Chaos of A Class of Generalized Tent Mapping

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    • 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.
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