Huang, Xun-Cheng From intermediate value theorem to chaos. (English) Zbl 0824.26002 Math. Mag. 65, No. 2, 91-103 (1992). 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. Reviewer: K.Janková (Bratislava) Cited in 2 Documents MSC: 26A18 Iteration of real functions in one variable 37E99 Low-dimensional dynamical systems Keywords:periodic point; one-dimensional dynamics; intermediate value theorem; Sarkovskij’s theorem; cycles; Stefan’s theorem; chaos PDFBibTeX XMLCite \textit{X.-C. Huang}, Math. Mag. 65, No. 2, 91--103 (1992; Zbl 0824.26002) Full Text: DOI