Scaling for a periodic forcing at the onset of intermittency

Françoise Argoul , A. Arnéodo

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.

Mots clés: chaos; renormalisation; intermittency onset; periodic forcing; transition to chaos; renormalization group approach; scaling behaviour; laminarity; critical exponents; discrete systems

Domaines: Articles anciens

Françoise Argoul, A. Arnéodo. Scaling for a periodic forcing at the onset of intermittency. Journal de Physique Lettres, 1985, 46 (19), pp.901-907. ⟨10.1051/jphyslet:019850046019090100⟩. ⟨jpa-00232916⟩