Scaling for a periodic forcing at the onset of intermittency

Abstract

The effects of a periodic excitation on the transition to chaos via intermittency are considered. A renormalization group approach is used to predict the scaling behaviour of the average length of laminarity with respect to the amplitude of the forcing. The corresponding critical exponents are calculated for the different « universality classes » and found to be independent of the value of the external frequency. Numerical results on discrete systems are reported which corroborate these theoretical results