1 citations · 1 across the 6 of their papers we have counts for
7 papers
Inhomogeneous Picard-Fuchs equations of Abelian integrals in piecewise smooth near-Hamiltonian systems
Hefei Zhao, Yun Tian
In this paper, we explicitly obtain inhomogeneous Picard-Fuchs equations for Abelian integrals , where is an integral along orbital arcs defined by pol…
Bi-center conditions and bifurcation of limit cycles in a class of -equivariant cubic switching systems with two nilpotent points
Ting Chen, Feng Li, Yun Tian +1
In this paper, we generalize the Poincaré-Lyapunov method for systems with linear type centers to study nilpotent centers in switching polynomial systems and use it to investigate…
Small limit cycles bifurcating in pendulum systems under trigonometric perturbations
Yun Tian, Tingting Jing, Zhe Zhang
In this paper, we consider the bifurcation of small-amplitude limit cycles near the origin in perturbed pendulum systems of the form , $\dot y=-\sin(x)+\varepsilon Q(x,y…
Bifurcation of small limit cycles in cubic integrable systems using higher-order analysis
Yun Tian, Pei Yu
In this paper, we present a method of higher-order analysis on bifurcation of small limit cycles around an elementary center of integrable systems under perturbations. This method…
Linearizability and critical period bifurcations of a generalized Riccati system
Valery G. Romanovski, Wilker Fernandes, Yilei Tang +1
In this paper we investigate the isochronicity and linearizability problem for a cubic polynomial differential system which can be considered as a generalization of the Riccati sys…
Impact of delay on HIV-1 dynamics of fighting a virus with another virus
Yun Tian, Yu Bai, Pei Yu
In this paper, we propose a mathematical model for HIV-1 infection with intracellular delay. The model examines a viral-therapy for controlling infections through recombining HIV-1…
Bifurcation of ten small-amplitude limit cycles by perturbing a quadratic Hamiltonian system
Yun Tian, Pei Yu
This paper contains two parts. In the first part, we shall study the Abelian integrals for Zoladek's example [13], in which it is claimed the existence integrals of 11 small-amplit…