On-Off Intermittency in a Four-Dimensional Poincaré Map

Abstract

A four-dimensional Poincaré map is obtained from a coupling between a pair of nonlinear oscillators and it shows on-off intermittency under proper conditions. The power spectrum, and the distribution of on-off variable and that of laminar duration are numerically obtained and compared with analytical results of the multiplicative noise model, which is a reduced form of the large friction limit of the original Poincaré map. The coupled system considered here is a good candidate with which to observe on-off intermittency experimentally.