3 papers
math.DS2025
Determining codimension of Bogdanov-Takens and Bautin bifurcations via simplest normal form computation
Pei Yu, Yanni Zeng, Maoan Han
In solving real-world problems, determining the codimension of Bogdanov-Takens (BT) and Bautin (generalized Hopf) bifurcations can be very challenging, even for simple two-dimensio…
math.AP2023
BV solutions to a hyperbolic system of balance laws with logistic growth
Geng Chen, Yanni Zeng
We study BV solutions for a system of hyperbolic balance laws. We show that when initial data have small total variation on and small amplitude, and d…
nlin.CD2020
Visualization of Four Limit Cycles in Near-Integrable Quadratic Polynomial Systems
Pei Yu, Yanni Zeng
It has been known for almost years that general planar quadratic polynomial systems can have four limit cycles. Recently, four limit cycles were also found in near-integrable…