Anomalous Statistics for Type-III Intermittency in a 1D Map

Laugesen J.; N. Carlsson; Erik Mosekilde; T. Bountis

doi:10.1023/A:1009616700092

Anomalous Statistics for Type-III Intermittency in a 1D Map

Laugesen J., N. Carlsson, Erik Mosekilde, T. Bountis

Department of Physics

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Abstract

The statistics for the distribution of laminar phases in type-III intermittency is examined for a symmetric bimodal map. Due to a strongly nonuniform reinjection process, characteristic deviations from 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 a pair of such maps to exhibit type-II intermittency are worked out.

Original language	English
Journal	Open Systems and Information Dynamics
Volume	4
Issue number	4
Pages (from-to)	393-405
ISSN	1230-1612
DOIs	https://doi.org/10.1023/A:1009616700092
Publication status	Published - 1997

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title = "Anomalous Statistics for Type-III Intermittency in a 1D Map",

abstract = "The statistics for the distribution of laminar phases in type-III intermittency is examined for a symmetric bimodal map. Due to a strongly nonuniform reinjection process, characteristic deviations from 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 a pair of such maps to exhibit type-II intermittency are worked out.",

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AU - J., Laugesen

AU - Carlsson, N.

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AU - Bountis, T.

PY - 1997

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AB - The statistics for the distribution of laminar phases in type-III intermittency is examined for a symmetric bimodal map. Due to a strongly nonuniform reinjection process, characteristic deviations from 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 a pair of such maps to exhibit type-II intermittency are worked out.

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DO - 10.1023/A:1009616700092

M3 - Journal article

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SP - 393

EP - 405

JO - Open Systems and Information Dynamics

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ER -

Anomalous Statistics for Type-III Intermittency in a 1D Map

Abstract

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