Limit cycles of piecewise smooth differential systems of the type nonlinear center and saddle
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2024
- DOI:
- 10.48550/arXiv.2406.08138
- arXiv:
- arXiv:2406.08138
- Bibcode:
- 2024arXiv240608138P
- Keywords:
-
- Mathematics - Dynamical Systems;
- 2020]{37G05;
- 37G10;
- 37G15;
- 37E05;
- 37G35;
- 37H20;
- 37J20
- E-Print:
- The final version of this article will be published in \em{Journal of Difference Equations and Applications}