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

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

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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 languageEnglish
JournalOpen Systems and Information Dynamics
Issue number4
Pages (from-to)393-405
Publication statusPublished - 1997


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