School of Mathematical & Statistical Sciences Faculty Publications
Dynamical behaviors of a van der Pol-Duffing oscillator with indefinite degree
Document Type
Article
Publication Date
2026
Abstract
In this paper, we study a van der Pol-Duffing oscillator with indefinite degree in the Poincaré disc. Some fascinating and rich dynamics are presented, including abundant nonlinear phenomena such as limit cycles, figure-eight loops, and saddle connections, thereby providing the complete global structure.
Recommended Citation
Chen, Hebai, Zhaosheng Feng, Zhijie Li, and Zhaoxia Wang. "Dynamical behaviors of a van der Pol-Duffing oscillator with indefinite degree." Communications on Pure and Applied Analysis (2026): 0-0. https://doi.org/10.3934/cpaa.2026027
Publication Title
Communications on Pure and Applied Analysis
DOI
10.3934/cpaa.2026027
