bifurcation of limit cycles by perturbing a piecewise linear hamiltonian system
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ID: 243693
2013
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Abstract
This paper concerns limit cycle bifurcations by perturbing a piecewise linear Hamiltonian system. We first obtain all phase portraits of the unperturbed system having at least one family of periodic orbits. By using the first-order Melnikov function of the piecewise near-Hamiltonian system, we investigate the maximal number of limit cycles that bifurcate from a global center up to first order of ε.
| Reference Key |
xiong2013abstractbifurcation
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|---|---|
| Authors | ;Yanqin Xiong;Maoan Han |
| Journal | science and technology of advanced materials |
| Year | 2013 |
| DOI |
10.1155/2013/575390
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| URL | |
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