Sliding motion in discontinuous dynamical systems: periodic solutions, homoclinic ...
Averaging Theory for studying the periodic solutions of the differential systems a...
Regularization and minimal sets for non-smooth dynamical systems
Grant number: | 18/16430-8 |
Support Opportunities: | Regular Research Grants |
Duration: | November 01, 2018 - October 31, 2020 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
Principal Investigator: | Douglas Duarte Novaes |
Grantee: | Douglas Duarte Novaes |
Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
Abstract
This project concerns on global aspects of nonsmooth differential equations, Lipschitz continuous and discontinuous. It is divided in 3 main subjects: Bifurcation of Limit Cycles, Bifurcation of Invariant Tori and Shilnikov Connections in Filippov Systems. Each subject presents several subprojects, which are concerned on distinct topics such as: averaging theory and Melnikov functions, tangential polycycles, Hopf and Neimark-Sacker bifurcation, KAM theory, Shilnikov connections and chaos in real models, and regularization of Filippov systems. (AU)
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