Symbolic representations of iterated maps
KeywordsContinuous map, discontinuous map, representation, subshift, symbolic dynamics
AbstractThis paper presents a general and systematic discussion of various symbolic representations of iterated maps through subshifts. A unified model for all continuous maps on a metric space is given. It is shown that at most the second order representation is enough for a continuous map. By introducing distillations, partial representations of some general continuous maps are obtained. Finally, partitions and representations of a class of discontinuous maps and some examples are discussed.
How to Cite
FU, Xin-Chu, LU, Weiping, ASHWIN, Peter & DUAN, Janiqiao. Symbolic representations of iterated maps. Topological Methods in Nonlinear Analysis [online]. 1 September 2001, T. 18, nr 1, s. 119–147. [accessed 8.2.2023].
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