Anomalous statistics for type-III intermittency

Jakob Laugesen, Niklas Carlsson, Erik Mosekilde, Tassos Bountis

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)393-405
Number of pages13
JournalOpen Systems and Information Dynamics
Volume4
Issue number4
DOIs
Publication statusPublished - Jan 1 1997

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Mathematical Physics

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