Noise-induced Statistical Periodicity in Random Lasota-Mackey Maps
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Ithaca: Cornell University, 2019. (arXiv.org).
Research output: Working paper › Working papers
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TY - UNPB
T1 - Noise-induced Statistical Periodicity in Random Lasota-Mackey Maps
AU - Sato, Yuzuru
AU - Padberg-Gehle, Kathrin
PY - 2019
Y1 - 2019
N2 - Noise-induced statistical periodicity in a class of one-dimensional maps is studied. We show theexistence of statistical periodicity in a modified Lasota-Mackey map and describe the phenomenonin terms of almost cyclic sets. A transition from a stable state to a periodic state of the densitydepending on the noise level is observed in numerical investigations based on trajectory averagesand by means of a transfer operator approach. We conclude that the statistical periodicity is theorigin of the almost periodicity in noise-induced order.
AB - Noise-induced statistical periodicity in a class of one-dimensional maps is studied. We show theexistence of statistical periodicity in a modified Lasota-Mackey map and describe the phenomenonin terms of almost cyclic sets. A transition from a stable state to a periodic state of the densitydepending on the noise level is observed in numerical investigations based on trajectory averagesand by means of a transfer operator approach. We conclude that the statistical periodicity is theorigin of the almost periodicity in noise-induced order.
KW - Mathematics
KW - Lasota-Mackey map
KW - Random dynamical systems
KW - Perturbed Transfer operato
KW - Asymptotic periodicity
KW - Statistical periodicity
KW - Almost cyclic set
M3 - Working papers
T3 - arXiv.org
BT - Noise-induced Statistical Periodicity in Random Lasota-Mackey Maps
PB - Cornell University
CY - Ithaca
ER -