1 citations · 1 across the 10 of their papers we have counts for
8 papers · 1 filter
Bifurcation of limit cycles for a class of cubic Hamiltonian systems with nesting period annuli
Yuan Chang, Liqin Zhao, Qiuyi Wang
In this paper, we obtain the upper bound of the number of zeros of Abelian integral for a class of cubic Hamiltonian systems with nesting period annuli under perturbations of polyn…
On the number of limit cycles for Bogdanov-Takens system under perturbations of piecewise smooth polynomials
Jiaxin Wang, Liqin Zhao
In this paper, we study the bifurcate of limit cycles for Bogdanov-Takens system(, ) under perturbations of piecewise smooth polynomials of degree …
On the number of limit cycles bifurcating from the linear center with an algebraic switching curve
Jiaxin Wang, Jinping Zhou, Liqin Zhao
This paper studies the family of piecewise linear differential systems in the plane with two pieces separated by a switching curve , where is an arbitrary positive.…
On the number of limit cycles bifurcating from the linear center with an algebraic switching curve
Jiaxin Wang, Jinping Zhou, Liqin Zhao
This paper studies the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. By analyzing the obtained first order Melnikov funct…
On the number of limit cycles for polycycles and in quadratic Hamilton systems under perturbations of piecewise smooth polynomials
Jiaxin Wang, Liqin Zhao
In this paper, by using Picard-Fuchs equations and Chebyshev criterion, we study the bifurcate of limit cycles for quadratic Hamilton system and : $\dot{x}= y+2a…
Bifurcation of limit cycles from the global center of a class of integrable non-Hamilton system under perturbations of piecewise smooth polynomials
Shiyou Sui, Liqin Zhao
In this paper, we perturb the global center of the planar polynomial vector fields () inside cubic piecewise smooth polynomials…
Limit cycles appearing from perturbations of cubic piecewise smooth center with double invariant real straight lines
Jihua Yang, Liqin Zhao
This paper investigates the exact number of limit cycles given by the averaging theory of first order for the piecewise smooth integrable non-Hamiltonian system \begin{eqnarray*} (…
On the number of limit cycles for generic Lotka-Volterra system and Bogdanov-Takens system under perturbations of piecewise smooth polynomials
Shiyou Sui, Jihua Yang, Liqin Zhao
In this paper, we consider the bifurcation of limit cycles for generic L-V system () and B-T system ($\dot{x}=y,~\dot{y}=-…