Singularities theory on dynamical systems in presence of symmetry

• Grant number: 12/23591-1
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Effective date (Start): May 01, 2013
• Effective date (End): October 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Marco Antônio Teixeira
• Grantee: Iris de Oliveira Zeli
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated scholarship(s): 13/21078-8 - Periodic solutions dor discontinuous dynamical systems with symmetry, BE.EP.PD

Abstract

The research will be developed on piecewise nonsmooth dynamical systems, also called by discontinuous Systems. Such systems have attracted the interest of several researchers since it is a relationship between mathematics, physics and engineering. We emphasize that many problems of control theory, impact in mechanical systems and nonlinear oscillators are the main motivations for the study of discontinuous dynamical systems. Therefore it is an important area. The supervisor is an expert and has obtained good results, mainly using the singular perturbation theory. In this work we study the dynamics of discontinuous systems around a generic singularity.

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)

BAPTISTELLI, P. H.; MANOEL, M.; ZELI, I. O.. Normal forms of bireversible vector fields. BULLETIN DES SCIENCES MATHEMATIQUES, v. 154, p. 102-126, AUG 2019. (12/23591-1)

NOVAES, DOUGLAS D.; TEIXEIRA, MARCO A.; ZELI, IRIS O.. The generic unfolding of a codimension-two connection to a two-fold singularity of planar Filippov systems. Nonlinearity, v. 31, n. 5, p. 2083-2104, MAY 2018. (16/11471-2, 12/18780-0, 13/21078-8, 12/23591-1)

LLIBRE, JAUME; TEIXEIRA, MARCO A.; ZELI, IRIS O.. Birth of limit cycles for a class of continuous and discontinuous differential systems in (d+2)-dimension. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, v. 31, n. 3, p. 237-250, SEP 2016. (12/23591-1, 12/18780-0, 13/21078-8)