Year: 2025
Type: article
Abstract: In this work we will study several concepts related to real continuous functions in one variable, highlighting results related to fixed points, periodic orbits and the Li-Yorke Theorem. This last theorem establishes that if a real function applies the interval [a,b] to itself and has a point of period three, then it will have periodic points of any positive integer period. The results will be obtained mainly through applications of the Intermediate Value Theorem and Brouwer Fixed Point Theorem, two classic results in Mathematics, whose formulation and geometric interpretations are relatively simple and whose applications are quite relevant in several sciences.
Institution: Universidade Federal de Ouro Preto
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4414985162
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