Anomalous statistics for type-III intermittency

Jakob Laugesen; Niklas Carlsson; Erik Mosekilde; Tassos Bountis

doi:10.1023/A:1009616700092

Anomalous statistics for type-III intermittency

Jakob Laugesen, Niklas Carlsson, Erik Mosekilde, Tassos Bountis

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

The statistics for the distribution of laminar phases in type-III intermittency is examined for the map x_n+1 = -((1 + μ) x_n + x³_n) e^-bx2n. Due to a strongly nonuniform reinjection process, characteristic deviations from the normal statistics are observed. There is an enhancement of relatively long laminar phases followed by an abrupt cut-off of laminar phases beyond a certain length. The paper also examines the bifurcation structure of two symmetrically coupled maps, each displaying a subcritical period-doubling bifurcation. The conditions for such a pair of coupled maps to exhibit type-II intermittency are discussed.

Original language	English
Pages (from-to)	393-405
Number of pages	13
Journal	Open Systems and Information Dynamics
Volume	4
Issue number	4
DOIs	https://doi.org/10.1023/A:1009616700092
Publication status	Published - Jan 1 1997

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Mathematical Physics

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abstract = "The statistics for the distribution of laminar phases in type-III intermittency is examined for the map xn+1 = -((1 + μ) xn + x3n) e-bx2n. Due to a strongly nonuniform reinjection process, characteristic deviations from the normal statistics are observed. There is an enhancement of relatively long laminar phases followed by an abrupt cut-off of laminar phases beyond a certain length. The paper also examines the bifurcation structure of two symmetrically coupled maps, each displaying a subcritical period-doubling bifurcation. The conditions for such a pair of coupled maps to exhibit type-II intermittency are discussed.",

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T1 - Anomalous statistics for type-III intermittency

AU - Laugesen, Jakob

AU - Carlsson, Niklas

AU - Mosekilde, Erik

AU - Bountis, Tassos

PY - 1997/1/1

Y1 - 1997/1/1

N2 - The statistics for the distribution of laminar phases in type-III intermittency is examined for the map xn+1 = -((1 + μ) xn + x3n) e-bx2n. Due to a strongly nonuniform reinjection process, characteristic deviations from the normal statistics are observed. There is an enhancement of relatively long laminar phases followed by an abrupt cut-off of laminar phases beyond a certain length. The paper also examines the bifurcation structure of two symmetrically coupled maps, each displaying a subcritical period-doubling bifurcation. The conditions for such a pair of coupled maps to exhibit type-II intermittency are discussed.

AB - The statistics for the distribution of laminar phases in type-III intermittency is examined for the map xn+1 = -((1 + μ) xn + x3n) e-bx2n. Due to a strongly nonuniform reinjection process, characteristic deviations from the normal statistics are observed. There is an enhancement of relatively long laminar phases followed by an abrupt cut-off of laminar phases beyond a certain length. The paper also examines the bifurcation structure of two symmetrically coupled maps, each displaying a subcritical period-doubling bifurcation. The conditions for such a pair of coupled maps to exhibit type-II intermittency are discussed.

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