Infrared Fixed Points and Fixed Lines for Couplings in the Chiral Lagrangian

In the framework of the low energy chiral Lagrangian renormalization group equations for the couplings are investigated up to order p^6 -- as well for SU(2)xSU(2) as for SU(3)xSU(3) chiral symmetry. Infrared attractive fixed points for ratios of O(p^4) couplings are found, which turn out to agree with the values determined from experiment in a surprisingly large number of cases. Infrared attractive fixed line solutions for O(p^6) couplings in terms of O(p^4) couplings and among O(p^6) couplings are determined.