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Analysis of stable periodic orbits in the one dimensional linear piecewise-smooth discontinuous map

Analysis of stable periodic orbits in the one dimensional linear piecewise-smooth discontinuous map

In this paper, we consider one dimensional linear piecewise-smooth discontinuous maps. It is well known that stable periodic orbits exist for such maps, in some parameter region. It is also known that the corresponding bifurcation phenomena (termed as period adding bifurcation) exhibit a special structure. In the last couple of …