Journal of Applied Mathematics and Physics

Volume 11, Issue 5 (May 2023)

ISSN Print: 2327-4352   ISSN Online: 2327-4379

Google-based Impact Factor: 1.00  Citations  

Crossing Limit Cycles of Planar Piecewise Hamiltonian Systems with Linear Centers Separated by Two Parallel Straight Lines

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DOI: 10.4236/jamp.2023.115093    118 Downloads   483 Views  Citations
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ABSTRACT

In this paper, we have studied several classes of planar piecewise Hamiltonian systems with three zones separated by two parallel straight lines. Firstly, we give the maximal number of limit cycles in these classes of systems with a center in two zones and without equilibrium points in the other zone (or with a center in one zone and without equilibrium points in the other zones). In addition, we also give examples to illustrate that it can reach the maximal number.

Share and Cite:

Jin, Z. (2023) Crossing Limit Cycles of Planar Piecewise Hamiltonian Systems with Linear Centers Separated by Two Parallel Straight Lines. Journal of Applied Mathematics and Physics, 11, 1429-1447. doi: 10.4236/jamp.2023.115093.
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