These proceedings contain a collection of papers on combinatorial dynamics, from the lecture that took place during the international symposium, "Thirty Years After Sharkovskii's Theoreom: New Perspectives", which was held at La Manga del Mar Menor, Murcia, Spain, from June 13 to June 18, 1994. Since Professor A.N. Sharkovskii's landmark paper on the coexistence of periods for interval maps, several lines of research have been developed, opening applications of models to help understand a number of phenomena from a wide variety of fields, such as biology, economics, physics etc. The meeting served to summarize the progress made since Professor Sharkovskii's discovery, and to explore new directions.
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