Work

Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line

Year: 2025

Type: article

Abstract: In this work we study the maximum number of limit cycles in some classes of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line. These rigid systems are formed by a linear center plus a homogeneous polynomial of degree 2, 3, 4, 5, 6. For these classes of piecewise differential systems we solve the extended 16th Hilbert problem.

Source: Nonlinear Differential Equations and Applications NoDEA

DOI: 10.1007/s00030-025-01050-w

Authors: Jaume Llibre, Angela C. T. Sánchez, Durval J. Tonon

Institutions: Universitat Autònoma de Barcelona, Universidade Federal de Goiás

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190