This paper is a review of the work done on the dynamics of modulated logistic systems.
Three different problems are treated, viz, the modulated logistic map, the parametrically perturbed
logistic map and the combination map obtained by combining two maps of the quadratic family.
Many of the interesting features displayed by these systems are discussed.
Kriashnan Nair, P R; Nandakumaran, V M; Ambika, G(Pramana, December , 1994)
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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.