Existence of periodic orbits using Lefschetz and Nielsen numbers theory

• Grant number: 13/13344-0
• Support type: Scholarships abroad - Research
• Effective date (Start): January 04, 2014
• Effective date (End): February 26, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal researcher: Márcio Ricardo Alves Gouveia
• Grantee: Márcio Ricardo Alves Gouveia
• Host: Jaume Llibre
• Home Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Research place: Universitat Autònoma de Barcelona (UAB), Spain

Abstract

Investigate the existence of periodic orbits for functions defined on a compact manifold, using as main tools, the Lefschetz numbers and Nielsen numbers. For this we attempt characterize the set of periods of a such function. (AU)

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)

GOUVEIA, MARCIO R. A.; LLIBRE, JAUME. PERIODS OF PERIODIC HOMEOMORPHISMS OF PINCHED SURFACES WITH ONE OR TWO BRANCHING POINTS. HOUSTON JOURNAL OF MATHEMATICS, v. 45, n. 4, p. 1227-1243, 2019. Web of Science Citations: 0.

GOUVEIA, MARCIO R. A.; LLIBRE, JAUME; NOVAES, DOUGLAS D. On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems. Applied Mathematics and Computation, v. 271, p. 365-374, NOV 15 2015. Web of Science Citations: 3.

GOUVEIA, MARCIO R. A.; LLIBRE, JAUME. A Survey on the Set of Periods of the Graph Homeomorphisms. Qualitative Theory of Dynamical Systems, v. 14, n. 1, p. 39-50, APR 2015. Web of Science Citations: 0.