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| Melnikov Functions for a Class of Piecewise Hamiltonian Systems |
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| KeyWord:Piecewise smooth system Melnikov function Limit cycle Bifurcation |
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| Abstract: |
| This paper is concerned with the number of limit cycles for a class of piecewise Hamiltonian systems with two zones separated by two semi-straight lines. By constructing a Poincar\'{e} map, we obtain explicit expressions of the first, second and third order Melnikov functions. In addition, we apply their expressions to give upper bounds of the number of limit cycles bifurcated from
a period annulus of a piecewise polynomial Hamiltonian system. |
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