Superstable Credit Cycles
نویسندگان
چکیده
We study a particular bifurcation structure observed in the parameter space of a one-dimensional continuous piecewise smooth map generated by the credit cycle model in [23] where the map is de ned over the absorbing interval via three functions, one of which is a constant. We show that the at branch gives rise to superstable cycles whose periodicity regions are ordered according to a modi ed U-sequence and accumulate to the curves related to homoclinic cycles which represent attractors in Milnor sense. The boundaries of these regions correspond to fold and ip border collision bifurcations as well as persistence border collisions of the related superstable cycles.
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