Research Interests:
1. Differential Equation and Dynamical System
2. Qualitative Theory and Symbolic Computation
3. Mathematical Biology
Selected Publications:
1. Yun Tian, Pei Yu, Bifurcation of small limit cycles in cubic integrable systems using higher-order analysis, Journal of Differential Equations, 2018, 264(9): 5950–5976 [PDF]
2. Yun Tian, Maoan Han, Hopf and homoclinic bifurcations for near-Hamiltonian systems, Journal of Differential Equations, 2017, 262: 3214–3234 [PDF]
3. Yun Tian, Pei Yu, Bifurcation of ten small-amplitude limit cycles by perturbing a quadratic Hamiltonian system with cubic polynomials, Journal of Differential Equations, 2016, 260: 971-990 [PDF]
4. Yun Tian, Yuan Yuan, Effect of an HIV virotherapy model with nonlinear incidence and delays in cell infection and virus production, Proc. R. Soc. A, 2016, 472:20150626 [PDF]
5. Yun Tian, Pei Yu, Center conditions for a switching Bautin system, Journal of Differential Equations, 2015, 259: 1203-1226 [PDF]
6. Yun Tian, Pei Yu, An explicit recursive formula for computing the normal forms associated with semi-simple cases, Commun. Nonlinear Sci. Numer. Simulat., 2014, 19: 2294-2308 [PDF]
7. Yun Tian, Maoan Han, Hopf bifurcation for two types of Lienard systems, Journal of Differential Equations, 2011, 251: 834-859 [PDF]