# 2D discontinuous piecewise linear map: Emergence of fashion cycles.

@article{Gardini20182DDP, title={2D discontinuous piecewise linear map: Emergence of fashion cycles.}, author={Laura Gardini and I. Sushko and Kiminori Matsuyama}, journal={Chaos}, year={2018}, volume={28 5}, pages={ 055917 } }

We consider a discrete-time version of the continuous-time fashion cycle model introduced in Matsuyama, 1992. Its dynamics are defined by a 2D discontinuous piecewise linear map depending on three parameters. In the parameter space of the map periodicity, regions associated with attracting cycles of different periods are organized in the period adding and period incrementing bifurcation structures. The boundaries of all the periodicity regions related to border collision bifurcations are…

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