We study the dynamics of a one dimensional discontinuous linear-power map. It has a vertical asymptote giving rise to new kinds of border collision bifurcations. We explain the peculiar periods of attracting cycles, appearing due to cascades of alternating smooth and nonsmooth bifurcations. Robust unbounded chaotic attractors are also described

Alternating Smooth and Nonsmooth Bifurcations in a Discontinuous Linear-Power Map

GARDINI, LAURA;SUSHKO, IRYNA
2017

Abstract

We study the dynamics of a one dimensional discontinuous linear-power map. It has a vertical asymptote giving rise to new kinds of border collision bifurcations. We explain the peculiar periods of attracting cycles, appearing due to cascades of alternating smooth and nonsmooth bifurcations. Robust unbounded chaotic attractors are also described
2017
978-3-319-55641-3
978-3-319-55642-0
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11576/2653566
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