Discrete chaos is reversed random walk
- 1 July 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 26 (1) , 711-712
- https://doi.org/10.1103/physreva.26.711
Abstract
Any discrete process which maps the interval on itself and whose reverse process is double or multiple valued fulfills the Li and Yorke criterion for chaos. Sequences of numbers obtained by iteration of such processes are mirror images of paths of random walk in the reverse, branched processes. Discrete processes which transform one to one cannot produce chaos.Keywords
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