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math.DS2025
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…
math.DS2025
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…
math.DS2024
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…