A study for minimal sets in non-smooth systems in dimensions two and three

• Grant number: 10/18015-6
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: April 01, 2011
• End date: June 30, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Claudio Aguinaldo Buzzi
• Grantee: Rodrigo Donizete Euzébio
• 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
• Associated research grant: 07/06896-5 - Geometry of control, dynamical and stochastic systems, AP.TEM
• Associated scholarship(s): 12/05635-1 - Study of families of periodic orbits and their bifurcations in differential equations of finite dimension, BE.EP.DR

Scientific publications

(7)

(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. 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. 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)

BUZZI, CLAUDIO A.; DE CARVALHO, TIAGO; EUZEBIO, RODRIGO D.. Chaotic planar piecewise smooth vector fields with non-trivial minimal sets. Ergodic Theory and Dynamical Systems, v. 36, n. 2, p. 458-469, APR 2016. (12/00481-6, 14/02134-7, 10/18015-6)

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)

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)

BUZZI, CLAUDIO A.; DE CARVALHO, TIAGO; EUZEBIO, RODRIGO D.. Chaotic planar piecewise smooth vector fields with non-trivial minimal sets. Ergodic Theory and Dynamical Systems, v. 36, p. 12-pg., 2016-04-01. (14/02134-7, 12/00481-6, 10/18015-6)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

EUZÉBIO, Rodrigo Donizete. Estudo de conjuntos minimais para sistemas descontínuos em dimensões 2 e 3. 2014. Doctoral Thesis - Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto São José do Rio Preto.