INTEGRABILITY AND BIFURCATION OF LIMIT CYCLES FOR A CLASS OF QUASI-HOMOGENEOUS SYSTEMS

Yanli Tang; Yusen Wu; Feng Li

doi:10.11948/20230253

2024 Volume 14 Issue 2

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Yanli Tang, Yusen Wu, Feng Li. INTEGRABILITY AND BIFURCATION OF LIMIT CYCLES FOR A CLASS OF QUASI-HOMOGENEOUS SYSTEMS[J]. Journal of Applied Analysis & Computation, 2024, 14(2): 1006-1013. doi: 10.11948/20230253

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Yanli Tang, Yusen Wu, Feng Li. INTEGRABILITY AND BIFURCATION OF LIMIT CYCLES FOR A CLASS OF QUASI-HOMOGENEOUS SYSTEMS[J]. Journal of Applied Analysis & Computation, 2024, 14(2): 1006-1013. doi: 10.11948/20230253

INTEGRABILITY AND BIFURCATION OF LIMIT CYCLES FOR A CLASS OF QUASI-HOMOGENEOUS SYSTEMS

1.
Center for International Education, Philippine Christian University, Taft Avenue, Malate, Manila 1004, Philippines
2.
School of Mathematics and Statistics, Linyi University, Linyi, Shandong 276000, China
3.
School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, Henan 471023, China

Author Bio: Email: sweetyanli@163.com(Y. Tang); Email: wuyusen621@126.com(Y. Wu)
Corresponding author: Email: lifeng@lyu.edu.cn(F. Li)

Abstract

Abstract

The integrability and bifurcation of limit cycles for a class of quasi-homogeneous systems are studied, with four integrability conditions being obtained, and the existence of seven limit cycles in the neighborhood of origin being proved.
- Quasi-homogeneous /
- center /
- focal value /
- limit cycle
MSC: 34C07

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References

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