[1] W. L. Li and S. Y. Shi, Non-integrability of Henon-Heiles system, Celestial Mech. Dyn. Astr. 109 (2011) , no. 1, 1-12.
[2] W. L. Li and S. Y. Shi, Galoisian obstruction to the integrability of general dynamical systems, J. Differential Equations, 252(2012), no. 10, 5518-5534.
[3] S. Y. Shi and W. L. Li, Non-integrability of generalized Yang-Mills Hamiltonian system, Discrete Contin. Dyn. Syst. Series A, 33(2013), no. 4, 1645-1655. (通讯作者)
[4] W. L. Li, and S. Y. Shi, Weak-Painleve property and integrability of general dynamical systems, Discrete Contin. Dyn. Syst. Series A, 34(2014), no. 9, 3667-3681.
[5] W. L. Li and S. Y. Shi, Singular perturbed renormalization group theory and its application to highly oscillatory problems，Discrete Contin. Dyn. Syst. Series B，2018, 23(4): 1819-1833.
[6] R. Zhou, S. Y. Shi and W. L. Li , Singular renormalization group approach to boundary problems，Commun Nonlinear Sci Numer Simulat 71 (2019) 220–23. (通讯作者)
[6] K. Y. Huang, S. Y. Shi and W. L. Li , Kovalevskaya exponents, weak Painleve property and integrability for quasi-homogeneous differential systems, Regular and Chaotic dynamics, 2020, 25(3): 295–312 (通讯作者)
[7] S. D. Qu, W. L. Li, and S. Y. Shi, Renormalization group approach to SDEs with nonlinear diffusion terms. 2021, Mediterr. J. Math. 18, 183.
[8] W. L. Li, and S. Y. Shi, Singularly Perturbed Renormalization Group Method and Its Significance in Dynamical Systems Theory，2022，Commun. Math. Res. Vol. 38, No. 1, pp. 99-122.
[9] L. Xu, Z. G. Xu, W. L. Li, and S. Y. Shi, Renormalization group approach to a class of singularly perturbed delay differential equations, Commun Nonlinear Sci Numer Simulat, 103 (2021) 106028 (通讯作者)
[10] Q. J. Zhao, S. Y. Shi and W. L. Li, Dynamics of flocking models with two species, Electron. J. Differential Equations, Vol. 2021 (2021), No. 104, pp. 1-24. (通讯作者)
[11] W. L. Li, S. Y. Shi and S. L. Yang, On integrability of the Nos ́e–Hoover oscillator and generalized Nos ́e–Hoover oscillator , International Journal of Geometric Methods in Modern Physics (2022) 2250117 (33 pages)
[12] S. D. Qu, W. L. Li, and S. Y. Shi Amplitude equations for SPDEs with cubic nonlinearity forced by generalized noise, J. Evol. Equ. (2022) 22:78
[13] W. L. Li, S. D. Qu, and S. Y. Shi, Random invariant manifolds and foliations for slow-fast PDEs with strong multiplicative noise，Electronic Journal of Qualitative Theory of Differential Equations，2022, No. 70, 1–27;
[14] N. Sun, S. Y. Shi and W. L. Li, Renormalization group method for solving initial value problem of slow-fast system，Math. Meth. Appl. Sci. 2023;1–16. (通讯作者)
[15] W. L. Li, S. Y. Shi and Q. J. Zhao, Dynamics of a class of financial herding models with multi-groups. Discrete and Continuous Dynamical Systems -S. 2025, 18(11): 3437-3459
[16] W. L. Li, Q. L. Tang, J. Wang, Y. Zhang and R. J. Zou, On the ground states of rotating two-component dipolar Bose-Einstein condensates, Journal of Computational Physics, Volume 540, 1 November 2025, 114275.
