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From intermediate value theorem to chaos. (English) Zbl 0824.26002

The paper deals with interesting and important results from one- dimensional dynamics which can be obtained using only the intermediate value theorem. The main aim of the author is to give a simple proof of Sarkovskij’s theorem on the coexistence of cycles but one can find there also Stefan’s theorem on cycles of odd period and an explanation of the Li and Yorke concept of chaos.

MSC:

26A18 Iteration of real functions in one variable
37E99 Low-dimensional dynamical systems
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