Limit cycles in a class of refracted piecewise Hamiltonian systems with a straight switching line
Abstract
This paper presents a criterion that provides an easy sufficient condition for a collection of line integrals to have the Chebyshev property. The condition is based on the functions appearing in the line integrals. The criterion is used to study the number of limit cycles in refracted piecewise differential systems, which are formed by two Hamiltonian differential systems separated by a straight line. The paper concludes by presenting a new result on such systems, demonstrating the effectiveness of the criterion presented.
Fields of Study & Subjects
Advanced Differential Equations and Dynamical Systems
Mathematical Dynamics and Fractals
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Discrete and Continuous Dynamical Systems - B
- Volume
- 37
- Issue
- 0
- Pages
- 112–129
- Publication date
- 1 January 2026
- Language
- EN