2 citations · 3 across the 7 of their papers we have counts for
7 papers
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…
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…
Limit cycles of a Liénard system with symmetry allowing for discontinuity
Hebai Chen Maoan Han, Yonghui Xia
This paper presents new results on the limit cycles of a Liénard system with symmetry allowing for discontinuity. Our results generalize and improve the results in [33,34]. The res…
Bifurcations of planar Hamiltonian systems with impulsive perturbation
Zhaoping Hu, Maoan Han, Valery G. Romanovski
In this paper, by means of the Melnikov functions we consider bifurcations of harmonic or subharmonic solutions from a periodic solution of a planar Hamiltonian system under impuls…
Limit cycle bifurcations from a nilpotent focus or center of planar systems
Maoan Han, Valery G. Romanovski
In this paper, we study the analytical property of the Poincare return map and the generalized focal values of an analytical planar system with a nilpotent focus or center. Then we…
On the number of limit cycles of polynomial Lienard systems
Maoan Han, Valery G. Romanovski
Lienard systems are very important mathematical models describing oscillatory processes arising in applied sciences. In this paper, we study polynomial Lienard systems of arbitrary…
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…