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Dynamical systems in dimensions 1 and 2


The main objective of this project is to make contributions to the understanding of the dynamics of injective interval maps with a finite number of discontinuities, restricting the study to two classes of such transformations: the contractions of n intervals and the interval exchange transformations with flips. In addition, the project also addresses conditions for injectivity of planar maps and the asymptotic stability of planar vector fields. (AU)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
NOGUEIRA, ARNALDO; PIRES, BENITO. Dynamics of piecewise contractions of the interval. Ergodic Theory and Dynamical Systems, v. 35, n. 7, p. 2198-2215, OCT 2015. Web of Science Citations: 5.
NOGUEIRA, ARNALDO; PIRES, BENITO; ROSALES, RAFAEL A. Asymptotically periodic piecewise contractions of the interval. Nonlinearity, v. 27, n. 7 JUL 2014. Web of Science Citations: 1.

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