Yun Tian

collaborators

2 papers

math.CA2026

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 $I_{i, j}^{+} (h)$ , where $I_{i, j}^{+} (h)$ is an integral along orbital arcs defined by pol…

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 PoincarÃ©-Lyapunov method for systems with linear type centers to study nilpotent centers in switching polynomial systems and use it to investigate…

Inhomogeneous Picard-Fuchs equations of Abelian integrals in piecewise smooth near-Hamiltonian systems

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

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