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arXiv · 2406.08138

Limit cycles of piecewise smooth differential systems of the type nonlinear center and saddle

Nanasaheb Phatangare·Krishnat Masalkar·Subhash Kendre
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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.

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Nanasaheb Phatangare, Krishnat Masalkar, Subhash Kendre. 2024-06-12. Limit cycles of piecewise smooth differential systems of the type nonlinear center and saddle. https://doi.org/10.1080/10236198.2024.2369216

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