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- W2486417923 abstract "In this paper, the statistical properties of an interval map, having a square-root singular point which characterizes grazing bifurcations of impact oscillators, are studied. Firstly, we show that in some parameter regions the map admits an induced Markov structure with an exponential decay tail of the return times. Then we prove that the map has a unique mixing absolutely continuous invariant probability measure. Finally, by applying the Markov tower method, we prove that exponential decay of correlations and the central limit theorem hold for Holder continuous observations." @default.
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- W2486417923 date "2016-07-29" @default.
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- W2486417923 title "Statistical properties of the universal limit map of grazing bifurcations" @default.
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