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We present a family of continuous piecewise linear maps of the unit interval into itself that are all chaotic in the sense of Li and Yorke [‘Period three implies chaos’,… Click to show full abstract
We present a family of continuous piecewise linear maps of the unit interval into itself that are all chaotic in the sense of Li and Yorke [‘Period three implies chaos’, Amer. Math. Monthly 82 (1975), 985–992] and for which almost every point (in the sense of Lebesgue) in the unit interval is an eventually periodic point of period $p,p\geq 3$ , for a member of the family.
Keywords:
eventual periodicity;
piecewise;
linear chaotic;
periodicity piecewise;
chaotic maps;
piecewise linear
Journal Title: Bulletin of the Australian Mathematical Society
Year Published: 2017
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Journal Title: Bulletin of the Australian Mathematical Society
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!