Yun Tian

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math.DS2024

Bi-center conditions and bifurcation of limit cycles in a class of $Z_{2}$ -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…

math.DS2023

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 $x ˙ = y$ , $\dot y=-\sin(x)+\varepsilon Q(x,y…

math.DS2017

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…

Bi-center conditions and bifurcation of limit cycles in a class of Z2​-equivariant cubic switching systems with two nilpotent points

Small limit cycles bifurcating in pendulum systems under trigonometric perturbations

Bifurcation of small limit cycles in cubic integrable systems using higher-order analysis

Bi-center conditions and bifurcation of limit cycles in a class of $Z_{2}$ -equivariant cubic switching systems with two nilpotent points