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Bistability and border-collision bifurcations for a family of unimodal piecewise smooth maps

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  • This article deals with a two-parameter family of piecewise smooth unimodal maps with one break point. Using superstable cycles and their symbolic representation we describe the structure of the periodicity regions of the 2D bifurcation diagram. Particular attention is paid to the bistability regions corresponding to two coexisting attractors, and to the border-collision bifurcations.
    Mathematics Subject Classification: Primary: 37E05, 37G35; Secondary: 37N30.


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