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Global phenomena in piecewise smooth dynamical systems

Grant number: 16/23716-0
Support Opportunities:Scholarships abroad - Research Internship - Doctorate
Start date: May 01, 2017
End date: April 30, 2018
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Marco Antônio Teixeira
Grantee:Otávio Marçal Leandro Gomide
Supervisor: Maria Teresa Martinez-Seara Alonso
Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Institution abroad: Universitat Politècnica de Catalunya (UPC), Spain  
Associated to the scholarship:15/22762-5 - Structural Stability of Nonsmooth Systems on Tridimensional Manifolds, BP.DR

Abstract

We will perform research in nonsmooth dynamical systems (Filippov systems), studying certain global phenomena of a piecewise smooth vector field combining techniques from Theory of Singularities, Regularization of Nonsmooth Systems, and Singular Perturbation Theory, further usual methods of Qualitative and Geometric Theory of Dynamical Systems. More specifically, we will study the dynamics of global first return maps defined in the switching manifold associated to minimal sets of a 3D Filippov system.

News published in Agência FAPESP Newsletter about the scholarship:
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Scientific publications
(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)
GOMIDE, OTAVIO M. L.; TEIXEIRA, MARCO A.. On structural stability of 3D Filippov systems: A semi-local approach. MATHEMATISCHE ZEITSCHRIFT, v. 294, n. 1-2, p. 419-449, . (15/22762-5, 12/18780-0, 16/23716-0)
GOMIDE, OTAVIO M. L.; GUARDIA, MARCEL; SEARA, TERE M.; ZENG, CHONGCHUN. On small breathers of nonlinear Klein-Gordon equations via exponentially small homoclinic splitting. INVENTIONES MATHEMATICAE, v. N/A, p. 117-pg., . (19/01682-4, 15/22762-5, 16/23716-0)