Study of minimal sets for discontinuous systems via singular perturbations

• Grant number: 07/08707-5
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: March 01, 2008
• End date: January 31, 2011
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Claudio Aguinaldo Buzzi
• Grantee: Tiago de Carvalho
• 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

A systematic study of the occurrence of minimal sets in discontinuous systems. The approach will be via geometric singular perturbation theory and regularization method introduced by Sotomayor and Teixeira. (AU)

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)

CARDIN, PEDRO TONIOL; DE CARVALHO, TIAGO; LLIBRE, JAUME. LIMIT CYCLES OF DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 21, n. 11, p. 3181-3194, NOV 2011. (07/07957-8, 07/08707-5)

CARDIN, PEDRO TONIOL; DE CARVALHO, TIAGO; LLIBRE, JAUME. Bifurcation of limit cycles from an n-dimensional linear center inside a class of piecewise linear differential systems. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 75, n. 1, p. 143-152, JAN 2012. (07/07957-8, 07/08707-5)

DE CARVALHO, TIAGO; TONON, DURVAL JOSE. Generic Bifurcations of Planar Filippov Systems via Geometric Singular Perturbations. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, v. 18, n. 5, p. 21-pg., 2011-01-01. (10/18190-2, 07/08707-5)

DE CARVALHO, TIAGO; TONON, DURVAL JOSE. Generic Bifurcations of Planar Filippov Systems via Geometric Singular Perturbations. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, v. 18, n. 5, S, p. 861-881, 2011. (10/18190-2, 07/08707-5)

BUZZI, C. A.; DE CARVALHO, T.; DA SILVA, P. R.. Closed poly-trajectories and Poincar, index of non-smooth vector fields on the plane. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, v. 19, n. 2, p. 173-193, APR 2013. (10/18190-2, 12/00481-6, 07/08707-5)

BUZZI, CLAUDIO A.; DE CARVALHO, TIAGO; TEIXEIRA, MARCO A.. On 3-Parameter Families of Piecewise Smooth Vector Fields in the Plane. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, v. 11, n. 4, p. 1402-1424, 2012. (10/18190-2, 07/06896-5, 12/00481-6, 07/08707-5)

BUZZI, CLAUDIO AGUINALDO; DE CARVALHO, TIAGO; TEIXEIRA, MARCO ANTONIO. ON THREE-PARAMETER FAMILIES OF FILIPPOV SYSTEMS - THE FOLD-SADDLE SINGULARITY. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 22, n. 12, DEC 2012. (10/18190-2, 07/06896-5, 12/00481-6, 07/08707-5)

Academic Publications

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

CARVALHO, Tiago de. Conjuntos limite e bifurfações de campos de vetores suaves por partes no plano. 2011. Doctoral Thesis - Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto São José do Rio Preto.