ON THE NUMBER OF LIMIT CYCLES FOR A QUINTIC LIÉNARD SYSTEM UNDER POLYNOMIAL PERTURBATIONS

Linlin Li; Junmin Yang

doi:10.11948/20190221

2019 Volume 9 Issue 6

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Linlin Li, Junmin Yang. ON THE NUMBER OF LIMIT CYCLES FOR A QUINTIC LIÉNARD SYSTEM UNDER POLYNOMIAL PERTURBATIONS[J]. Journal of Applied Analysis & Computation, 2019, 9(6): 2464-2481. doi: 10.11948/20190221

Citation:

Linlin Li, Junmin Yang. ON THE NUMBER OF LIMIT CYCLES FOR A QUINTIC LIÉNARD SYSTEM UNDER POLYNOMIAL PERTURBATIONS[J]. Journal of Applied Analysis & Computation, 2019, 9(6): 2464-2481. doi: 10.11948/20190221

ON THE NUMBER OF LIMIT CYCLES FOR A QUINTIC LIÉNARD SYSTEM UNDER POLYNOMIAL PERTURBATIONS

Linlin Li¹,
Junmin Yang^1, ,

1.
College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei, 050024, China

Corresponding author: Email address:jmyang@hebtu.edu.cn(J. Yang)
Fund Project: The project was supported by National Natural Science Foundation of China (11571090) and Science Foundation of Hebei Normal University (L2017J01)

Abstract

Abstract

In this paper, we mainly study the number of limit cycles for a quintic Liénard system under polynomial perturbations. In some cases, we give new estimations for the lower bound of the maximal number of limit cycles.
- Limit cycle /
- bifurcation /
- Li¤enard system /
- Melnikov function
MSC: 34C07, 34C23

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References

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