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Scaling relations in the lyapunov exponents of one dimensional maps
Authors:P R Krishnan Nair  V M Nandakumaran  G Ambika
Affiliation:(1) Department of Physics, Cochin University of Science and Technology, 682 022 Cochin, India;(2) Present address: Department of Physics, Maharajas College, 682 011 Cochin, India
Abstract: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.
Keywords:One dimensional maps  Chaos  period doubling  scaling behaviour  Lyapunov characteristic exponents
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