1 citations · 2 across the 3 of their papers we have counts for
4 papers
The number of limit cycles of piecewise linear Liénard systems
Hebai Chen, Zhijie Li, Rui Zhang +1
For the planar Liénard differential system , , where is a piecewise linear function, Tonnelier (SIAM J. Appl. Math., 2002) conjectured that the ma…
Cyclicity of lips and center-focus problem at infinity
Hebai Chen, Dehong Dai, Vadim Kaloshin +1
In this work, we discover an intriguing Liénard system which is integrable near infinity, integrable near zero and having Ilyashenko-Kotova lips in between. Moreover, we give a nec…
Potential and Limitations of LLMs in Capturing Structured Semantics: A Case Study on SRL
Ning Cheng, Zhaohui Yan, Ziming Wang +6
Large Language Models (LLMs) play a crucial role in capturing structured semantics to enhance language understanding, improve interpretability, and reduce bias. Nevertheless, an on…
A sufficient and necessary condition of generalized polynomial Liénard systems with global centers
Hebai Chen, Zhijie Li, Rui Zhang
The aim of this paper is to give a sufficient and necessary condition of the generalized polynomial Liénard system with a global center (including linear typer and nilpotent type).…