Noise-induced Statistical Periodicity in Random Lasota-Mackey Maps

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Noise-induced Statistical Periodicity in Random Lasota-Mackey Maps. / Sato, Yuzuru; Padberg-Gehle, Kathrin.
Ithaca: Cornell University, 2019. (arXiv.org).

Research output: Working paperWorking papers

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Sato Y, Padberg-Gehle K. Noise-induced Statistical Periodicity in Random Lasota-Mackey Maps. Ithaca: Cornell University. 2019. (arXiv.org).

Bibtex

@techreport{ddbc9e4985b24694bb3e1a3820ce5053,
title = "Noise-induced Statistical Periodicity in Random Lasota-Mackey Maps",
abstract = "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.",
keywords = "Mathematics, Lasota-Mackey map, Random dynamical systems, Perturbed Transfer operato, Asymptotic periodicity, Statistical periodicity, Almost cyclic set",
author = "Yuzuru Sato and Kathrin Padberg-Gehle",
year = "2019",
language = "English",
series = "arXiv.org",
publisher = "Cornell University",
address = "United States",
type = "WorkingPaper",
institution = "Cornell University",

}

RIS

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 -

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