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Non-smooth Dynamical Systems on the plane

Grant number: 13/18168-5
Support type:Scholarships in Brazil - Master
Effective date (Start): March 01, 2014
Effective date (End): July 31, 2015
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Ricardo Miranda Martins
Grantee:Otávio Marçal Leandro Gomide
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Associated research grant:12/18780-0 - Geometry of control systems, dynamical and stochastics systems, AP.TEM


The Non-Smooth Dynamical Systems Theory (NSDS) is received a lot of attention in recent years, as various mechanical phenomena are best understood when modeled using discontinuous or piecewise differential equations.In this project, we consider NSDS on the plane. We study the existence of limit-cycles for these systems, using direct methods (in the case of piecewise linear systems) and qualitative methods as well (in the case of non linear systems).

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Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
GOMIDE, Otávio Marçal Leandro. Limit cycles in smooth and non-smooth dynamical systems. 2015. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.

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