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# Seventeen limit cycles bifurcations of a fifth system

• In this paper, we study a kind of cubic system perturbed by degree five. By using multi-parameter perturbation theory and qualitative analysis, we obtained seventeen limit cycles with two different distributions(see Fig 5).
Mathematics Subject Classification: 34C05, 34C08, 34C23, 34D10, 34D15, 34K18, 34K26.

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