Abstract
The statistics for the distribution of laminar phases in type-IIIintermittency is examined for the map \(x_{n + 1} = - ((1 + \mu )x_n + x_n^3 )e^{ - bx_n^2 } \). Due to a strongly nonuniform reinjectionprocess, characteristic deviations from the normal statistics are observed.There is an enhancement of relatively long laminar phases followed by anabrupt cut-off of laminar phases beyond a certain length. The paper alsoexamines the bifurcation structure of two symmetrically coupled maps, eachdisplaying a subcritical period-doubling bifurcation. The conditions forsuch a pair of coupled maps to exhibit type-II intermittency are discussed.
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Laugesen, J., Carlsson, N., Mosekilde, E. et al. Anomalous Statistics for Type-III Intermittency. Open Systems & Information Dynamics 4, 393–405 (1997). https://doi.org/10.1023/A:1009616700092
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DOI: https://doi.org/10.1023/A:1009616700092