Abstract
The statistics for the distribution of laminar phases in type-III intermittency is examined for the map $$x_{n+1}=-\left( {(1+\mu )x_n+x_n^3} \right)e^{-bx_n^2}$$. 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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