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]

Linearizability and Critical Period Bifurcations of a Generalized Riccati System, Valery G. Romanovski, Wilker Fernandes, Yilei Tang, Yun Tian.

--- Linearizability quantities i_1, j_2, ..., i_8, j_8 are available here.

--- Singular code can be also downloaded here.