Limit cycles of piecewise smooth differential systems of the type nonlinear center and saddle
Dynamical Systems
2024-07-23 v1
Abstract
Piecewise linear differential systems separated by two parallel straight lines of the type of center-center-Hamiltonian saddle and the center-Hamiltonian saddle-Hamiltonian saddle can have at most one limit cycle and there are systems in these classes having one limit cycle. In this paper, we study the limit cycles of a piecewise smooth differential system separated by two parallel straight lines formed by nonlinear centers and a Hamiltonian saddle.
Cite
@article{arxiv.2406.08138,
title = {Limit cycles of piecewise smooth differential systems of the type nonlinear center and saddle},
author = {Nanasaheb Phatangare and Krishnat Masalkar and Subhash Kendre},
journal= {arXiv preprint arXiv:2406.08138},
year = {2024}
}
Comments
The final version of this article will be published in \em{Journal of Difference Equations and Applications}