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.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Mathematical Physics