We establish numerically the validity of Huberman-Rudnick scaling relation for Lyapunov exponents during the period doubling route to chaos in one dimensional maps. We extend our studies to the context of a combination map, where the scaling index is found to be different.
P. R. Krishnan Nair, Dr. V . M. Nandakumaran, and Ambika, G., “Scaling relations in the Lyapunov exponents of one dimensional maps”, Pramana, vol. 43, pp. 421–429, 1994.