Journal article

Iteration of piecewise linear maps on an interval

JB Mcguire, CJ Thompson

Bulletin of the Australian Mathematical Society | Published : 1981


A complete analysis is given of the iterative properties of two piece-piecewise linear maps on an interval, from the point of view of a doubling transformation obtained by functional composition and rescaling. We show how invariant measures may be constructed for such maps and that parameter values where this may be done form a dense set in a one-dimensional subset of parameter space.

University of Melbourne Researchers

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