Scholarship 22/07822-5 - Ciclos limites - BV FAPESP
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Study of crossing limit cycles in piecewise smooth systems on the plane

Grant number: 22/07822-5
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Start date until: February 01, 2023
End date until: December 31, 2024
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Alex Carlucci Rezende
Grantee:Ali Bakhshalizadeh Badaki
Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
Associated research grant:19/21181-0 - New frontiers in Singularity Theory, AP.TEM

Abstract

We present a criterion that provides an easy sufficient condition in order for a collection of line integrals to have the Chebyshev property. This condition involves the functions in the integrand of the line integrals and can be checked, in many cases, in a purely algebraic way. By using this criterion, the number of limit cycles for discontinuous piecewise differential systems formed by two differential systems separated by a straight line are studied, when these differential systems are Hamiltonians in both sides.

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