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- W28006923 abstract "Consider a once differentiable one-parameter family of unimodal maps as in the preceding section. We assume for definiteness that the parameter varies in [0,1] and for simplicity we also assume the maps fμ are symmetric functions. If f0 (1) = 0 and f1 = −1, then all maximal admissible itineraries A with ({rm RC} leq underline{{rm A}} leq {rm RL}^{{infty}}) occur as the kneading sequence of one of the fμ's. In particular, many non-periodic kneading sequences can occur, and the discussion of Part II has shown that in some cases one has sensitive dependence on initial conditions, while in other situations one finds an absolutely continuous ergodic invariant measure." @default.
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- W28006923 date "2009-01-01" @default.
- W28006923 modified "2023-10-14" @default.
- W28006923 title "Abundance of Aperiodic Behavior" @default.
- W28006923 doi "https://doi.org/10.1007/978-0-8176-4927-2_17" @default.
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