Minimal Sets of Piecewise Linear Systems

• Grant number: 10/17956-1
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: May 01, 2011
• End date: April 30, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Paulo Ricardo da Silva
• Grantee: Jaime Rezende de Moraes
• 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

Abstract

Pretendemos utilizar técnicas de perturbações singulares para investigarmos a existência deconjuntos minimais ( equillíbrios, ciclos limites, órbitas homoclínicas) de sistemas lineares por partes e de sistemas suaves arbitrariamente próximos de tais sistemas.

Scientific publications

(4)

(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)

CARDIN, PEDRO T.; DE MORAES, JANNE R.; DA SILVA, PAULO R.. Persistence of periodic orbits with sliding or sewing by singular perturbation. Journal of Mathematical Analysis and Applications, v. 423, n. 2, p. 1166-1182, MAR 15 2015. (13/24541-0, 13/21947-6, 10/17956-1)

LLIBRE, JAUME; LOPES, BRUNO D.; DE MORAES, JAIME R.. Limit Cycles for a Class of Continuous and Discontinuous Cubic Polynomial Differential Systems. Qualitative Theory of Dynamical Systems, v. 13, n. 1, p. 129-148, APR 2014. (10/17956-1)

DE MORAES, JAIME R.; DA SILVA, PAULO R.. Piecewise Linear Systems with Closed Sliding Poly-Trajectories. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, v. 21, n. 4, p. 653-684, OCT-DEC 2014. (10/17956-1)

LLIBRE, JAUME; LOPES, BRUNO D.; DE MORAES, JAIME R.. Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2. Applied Mathematics and Computation, v. 250, p. 887-907, JAN 1 2015. (10/17956-1)

Academic Publications

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

MORAES, Jaime Rezende de. . 2014. Doctoral Thesis - Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto São José do Rio Preto.