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- W2015013386 abstract "A continuous map f from a metric space X to itself is said to contain a two-sided symbolic dynamical system if there exists an invariant set X 0 of f such that the subsystem f|X 0 is topologically conjugate to the shift map on a two-sided sequence space of some symbols. In this paper we show that, for any given integer n ≥ 2, there exists a Lipschitz continuous interval map which contains a two-sided symbolic dynamical system of n symbols. Furthermore, we investigate the effect of differentiability and monotonicity assumptions, and prove that neither piecewise monotonic nor piecewise continuously differentiable graph map can contain a two-sided symbolic dynamical system." @default.
- W2015013386 created "2016-06-24" @default.
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- W2015013386 date "2005-04-01" @default.
- W2015013386 modified "2023-09-24" @default.
- W2015013386 title "WHAT MAPS CAN ADMIT TWO-SIDED SYMBOLIC DYNAMICAL SYSTEMS?" @default.
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- W2015013386 doi "https://doi.org/10.1142/s0218127405012594" @default.
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