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In general, a nonperiodic time-series with truncated exponential behavior can be converted into unpredictable dynamics using noninvertible transformations. Using a new theoretical framework for chaos and randomness, we investigate some classes of coupled map lattices. We show that, in some cases, these systems can produce completely unpredictable dynamics. In a similar fashion, we explain why some well-known spatiotemporal systems have been found to produce very complex dynamics in numerical simulations. We discuss real physical systems that can generate random dynamics.<\/jats:p>","DOI":"10.1142\/s0218127406016859","type":"journal-article","created":{"date-parts":[[2007,2,28]],"date-time":"2007-02-28T08:27:39Z","timestamp":1172651259000},"page":"3369-3381","source":"Crossref","is-referenced-by-count":2,"title":["NONINVERTIBLE TRANSFORMATIONS AND SPATIOTEMPORAL RANDOMNESS"],"prefix":"10.1142","volume":"16","author":[{"given":"J. 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