Existence of periodic orbits using Lefschetz and Nielsen numbers theory

• Grant number: 13/13344-0
• Support Opportunities: Scholarships abroad - Research
• Start date: January 04, 2014
• End date: February 26, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Márcio Ricardo Alves Gouveia
• Grantee: Márcio Ricardo Alves Gouveia
• Host Investigator: Jaume Llibre
• Host 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
• Institution abroad: 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. (13/24541-0, 13/13344-0)

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. (13/13344-0)

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. (13/13344-0, 12/10231-7)