4 papers
Boundary Regularity for Fully Nonlinear Parabolic equations on Domains
Jiqi Dong, Xuemei Li, Yuanyuan Lian
We establish the boundary pointwise Lipschitz regularity on exterior domains and the Hopf lemma on interior domains for fully nonlinear…
The existence of quasi-periodic invariant tori and double Hopf bifurcation of van der Pol's oscillator with delayed feedback
Xuemei Li, Bochao Yu
The double Hopf bifurcation and the existence of quasi-periodic invariant tori in a delayed van der Pol's oscillator are considered by regarding the damped coefficient and the dela…
Hopf and double Hopf bifurcations in a delayed lateral vibration model of footbridges induced by pedestrians
Xuemei Li, Yechi Liu
In this paper, we investigate the dynamical behaviors of a delayed lateral vibration model of footbridges proposed based on the facts that pedestrians will reduce their walking spe…
Dynamic properties of a class of van der Pol-Duffing oscillators
Yelei Kuang, Xuemei Li
In this paper, we study the existence of bifurcation of a van der Pol-Duffing oscillator with quintic terms and its quasi-periodic solutions by means of qualitative and bifurcation…