2019年5月8日
Noise-induced Statistical Periodicity in Random Lasota-Mackey Maps
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Noise-induced statistical periodicity in a class of one-dimensional maps is<br />
studied. We show the existence of statistical periodicity in a modified<br />
Lasota-Mackey map and describe the phenomenon in terms of almost cyclic sets. A<br />
transition from a stable state to a periodic state of the density depending on<br />
the noise level is observed in numerical investigations based on trajectory<br />
averages and by means of a transfer operator approach. We conclude that the<br />
statistical periodicity is the origin of the almost periodicity in<br />
noise-induced order.
studied. We show the existence of statistical periodicity in a modified<br />
Lasota-Mackey map and describe the phenomenon in terms of almost cyclic sets. A<br />
transition from a stable state to a periodic state of the density depending on<br />
the noise level is observed in numerical investigations based on trajectory<br />
averages and by means of a transfer operator approach. We conclude that the<br />
statistical periodicity is the origin of the almost periodicity in<br />
noise-induced order.
- ID情報
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- arXiv ID : arXiv:1905.02746