Bifurcation and Dynamics

Existence and stability of sawtooth periodic solutions in a state-dependent switching system.

Yu, J., Ju, C., Wang, Y., Wang, K., & Zhu, H. (2026). Existence and stability of sawtooth periodic solutions in a state-dependent switching system. Discrete and Continuous Dynamical Systems, 49, 381-402. https://www.aimsciences.org/article/doi/10.3934/dcds.2025173

Opinion polarization and its connected disagreement: Modeling and modulation

Qian, X., Qin, B. W., Zhu, H., & Lin, W. (2026). Opinion polarization and its connected disagreement: Modeling and modulation. Physical Review E, 113(1), L012301. link.aps.org/doi/10.1103/rldl-6t9s

Canard Cycles for Predator-Prey Systems with Holling Types of Functional Response

Li, C., and Zhu, H., 2013: Canard Cycles for Predator-Prey Systems with Holling Types of Functional Response. Journal of Differential Equations. Vol. 254,(2), P. 879–910.

Bifurcation of Limit Cycles from a Non-Hamiltonian Quadratic Integrable System with Homoclinic Loop

Zhao Y., and Zhu, H., 2012: Bifurcation of Limit Cycles from a Non-Hamiltonian Quadratic Integrable System with Homoclinic Loop. In "Infinite Dimensional Dynamical Systems", Fields Institute Communications, V. 64. Editors: John Mallet-Paret, Jianhong Wu, Yingfie Yi and Huaiping Zhu.

The Bifurcation Study of 1:2 Resonance in a Delayed System of Two Coupled Neurons

Fan, G., Campbell, S.A., Wolkowicz, G., and Zhu, H., 2013: The Bifurcation Study of 1:2 Resonance in a Delayed System of Two Coupled Neurons. J. Dynam. Differential Equations, Vol. 25 (1), p. 193–216

Canard phenomenon for an SIS epidemic model with nonlinear incidence

Li, C., Li, J., Ma, Z., and Zhu, H., 2014: Canard phenomenon for an SIS epidemic model with nonlinear incidence. Journal of Mathematical Analysis and Applications, Vol. 420 (2), p. 987-1004

Bifurcations and Complex Dynamics of an SIR Model with the Impact of the Number of Hospital Beds

Shan C., and Zhu., H., 2014: Bifurcations and Complex Dynamics of an SIR Model with the Impact of the Number of Hospital Beds. Journal of Differential Equations, Vol. 257 (5), p. 1662-1688

Finite cyclicity of some graphics through a nilpotent point of saddle type inside quadratic systems

Rousseau, C., Shan, C., and Zhu, H., 2015: Finite cyclicity of some graphics through a nilpotent point of saddle type inside quadratic systems. Qualitative Theory of Dynamical Systems, Vol. 15 (1), p. 237–256

A SIS reaction-diffusion-advection model in a low-risk or high-risk domain

Ge, J., Kim, K., Lin, Z., and Zhu, H., 2015: A SIS reaction-diffusion-advection model in a low-risk or high-risk domain. Journal of Differential Equations, Vol. 259 (10), p. 5486-5509

Bifurcation of an SIS model with nonlinear contact rate

Li, J., Zhao,Y., and Zhu, H., 2015: Bifurcation of an SIS model with nonlinear contact rate, Journal of Mathematical Analysis and Applications, Vol. 432 (2), p. 1119-1138