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Limit Cycle Bifurcations in a Class of Cubic System near a Nilpotent Center

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DOI: 10.4236/am.2012.37115    5,578 Downloads   7,710 Views   Citations
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ABSTRACT

In this paper we deal with a cubic near-Hamiltonian system whose unperturbed system is a simple cubic Hamiltonian system having a nilpotent center. We prove that the system can have 5 limit cycles by using bifurcation theory.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

J. Jiang, "Limit Cycle Bifurcations in a Class of Cubic System near a Nilpotent Center," Applied Mathematics, Vol. 3 No. 7, 2012, pp. 772-777. doi: 10.4236/am.2012.37115.

References

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