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math.DS2022★ 1 cited
An efficient solution procedure for solving higher-codimension Hopf and Bogdanov-Takens bifurcations
Bing Zeng, Pei Yu, Maoan Han
In solving real world systems for higher-codimension bifurcation problems, one often faces the difficulty in computing the normal form or the focus values associated with generaliz…
math.DS2021
Further study on Horozov-Iliev's method of estimating the number of limit cycles
Xiaoyan Chen, Maoan Han
In the study of the number of limit cycles of near-Hamiltonian systems, the first order Melnikov function plays an important role. This paper aims to establish a development of a k…
math.DS2010★ 2 cited
Four limit cycles from perturbing quadratic integrable systems by quadratic polynomials
Pei Yu, Maoan Han
In this paper, we give a positive answer to the open question: Can there exist 4 limit cycles in quadratic near-integrable polynomial systems? It is shown that when a quadratic int…