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As shown recently (O.B.Isaeva et al., Phys.Rev E64, 055201), the phenomenaintrinsic to dynamics of complex analytic maps under appropriate conditions mayoccur in physical systems. We study scaling regularities associated with theeffect of additive noise upon the period-tripling bifurcation cascadegeneralizing the renormalization group approach of Crutchfield et al.(Phys.Rev.Lett., 46, 933) and Shraiman et al. (Phys.Rev.Lett., 46, 935),originally developed for the period doubling transition to chaos in thepresence of noise. The universal constant determining the rescaling rule forthe intensity of the noise in period-tripling is found to be$\gamma=12.2066409...$ Numerical evidence of the expected scaling isdemonstrated.

Effect of noise on the dynamics of a complex map at the period-tripling accumulation point