Limit cycles in planar Filippov system

• Grant number: 15/24803-0
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2016
• End date: February 28, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luci Any Francisco Roberto
• Grantee: Raul Felipe Appis
• 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: 13/24541-0 - Ergodic and qualitative theory of dynamical systems, AP.TEM

Abstract

The main goal of this project is study the existence and stability of limit cycles in discontinuous piecewise linear systems obtained by the aggregation of two linear systems of focus type with just one real focus. For this case, we consider an adequate canonical form with five parameters and different bifurcations which are responsible for the appearance of crossing limit cycles. These bifurcation will be studied and in the parameters space will be analyzed some regions with none, one, two or three crossing limit cycles. An bifurcation that appear is the critical crossing cycle and it will be characterized.

Academic Publications

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

APPIS, Raul Felipe. Limit cycles in planar Filippov system. 2018. Master's Dissertation - Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto São José do Rio Preto.