Study of families of periodic orbits and their bifurcations in differential equations of finite dimension

• Grant number: 12/05635-1
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Effective date (Start): September 01, 2012
• Effective date (End): July 31, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Claudio Aguinaldo Buzzi
• Grantee: Rodrigo Donizete Euzébio
• Supervisor: Jaume Llibre i Saló
• 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
• Research place: Universitat Autònoma de Barcelona (UAB), Spain
• Associated to the scholarship: 10/18015-6 - A study for minimal sets in non-smooth systems in dimensions two and three, BP.DR

Abstract

Study of families of periodic orbits and their bifurcations in differential equations of finite dimension, with special attention to the following classes of systems of differential equations: (a) Polynomial differential systems in finite dimension and their limit cycles, and (b) piecewise linear differential systems (AU)

Scientific publications

(5)

(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)

EUZEBIO, RODRIGO D.; LLIBRE, JAUME. Zero-Hopf bifurcation in a Chua system. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v. 37, p. 31-40, OCT 2017. (10/18015-6, 13/25828-1, 12/05635-1)

EUZEBIO, RODRIGO D.; LLIBRE, JAUME. Sufficient conditions for the existence of periodic solutions of the extended Duffing-Van der Pol oscillator. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, v. 93, n. 8, p. 1358-1382, 2016. (10/18015-6, 13/25828-1, 12/05635-1)

EUZEBIO, RODRIGO D.; LLIBRE, JAUME. On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line. Journal of Mathematical Analysis and Applications, v. 424, n. 1, p. 475-486, APR 1 2015. (10/18015-6, 12/05635-1)

EUZEBIO, RODRIGO D.; LLIBRE, JAUME; VIDAL, CLAUDIO. Zero-Hopf bifurcation in the FitzHugh-Nagumo system. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 38, n. 17, p. 4289-4299, NOV 30 2015. (10/18015-6, 12/05635-1)

EUZEBIO, RODRIGO DONIZETE; LLIBRE, JAUME. PERIODIC SOLUTIONS OF EL NINO MODEL THROUGH THE VALLIS DIFFERENTIAL SYSTEM. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 34, n. 9, p. 3455-3469, SEP 2014. (10/18015-6, 12/05635-1)