@article{Ruiz Leal_Tineo_Lugo_2022, title={Remark on Transitivity for piecewise increassing maps on R}, volume={9}, url={https://revistas.unitru.edu.pe/index.php/SSMM/article/view/3483}, DOI={10.17268/sel.mat.2022.01.11}, abstractNote={<p>In this work a sufficient condition is shown to obtain transitivity in families of piecewise increassing maps with an inevitable discontinuity in x=0. Specifically, it is shown that the characteristics of a large class of transformations of the real line with a discontinuity in x=0 to be transitive (exhibits a dense orbit), they are the following: f has no fixed points, f has a vertical asymptote at x=0 and the preimage of zero is different from empty. In particular, the famous Boole transformation together with some of its parameterizations they exhibit these characteristics. As a particular case, for the family to a parameter of hyperbolas its dynamic behavior is explicitly determined according to the values of the parameter p > 0.</p>}, number={01}, journal={Selecciones Matemáticas}, author={Ruiz Leal, Luis Bladismir and Tineo, Ambrosio and Lugo, Abdul}, year={2022}, month={Jul.}, pages={145 - 149} }