Abstract
Bifurcation of limit cycles of three perturbed integrable systems is investigated by using both qualitative analysis and numerical exploration. The study reveals that the three systems has 2 limit cycles, 3 limit cycles, 4 limit cycles severally. By using method of numerical simulation, the distributed orderliness of these limit cycles is observed, and their nicety places are determined. The study also indicates that each of these limit cycles passes the corresponding nicety point.
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Acknowledgment
This work was financially supported by the Natural Science Foundation of China (Grant No. 11761075).
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Hong, L., Fu, W., Hong, X. (2020). Bifurcation of Limit Cycles and Their Relations in Three Perturbed Integrable Systems. In: Liu, Y., Wang, L., Zhao, L., Yu, Z. (eds) Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery. ICNC-FSKD 2019. Advances in Intelligent Systems and Computing, vol 1074. Springer, Cham. https://doi.org/10.1007/978-3-030-32456-8_61
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DOI: https://doi.org/10.1007/978-3-030-32456-8_61
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