@Article{JNMA-7-1431,
author = {Huang , WenhuiYao , Jie and Wang , Qinlong},
title = {Local Bifurcation Cyclicity for a Non-Polynomial System},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2025},
volume = {7},
number = {4},
pages = {1431--1445},
abstract = {<p style="text-align: justify;">In this paper, we propose a class of general non-polynomial analytic oscillator models, and study the limit cycle bifurcation at the nilpotent singularity or elementary center-focus. By Taylor expansion, two specific
systems from the original model are transformed into two equivalent infinite
polynomial systems, and the highest order of fine focus as the nilpotent Hopf
bifurcation or Hopf bifurcation point is determined respectively. At the same
time, the local bifurcation cyclicities and center problems for two systems are
solved respectively. To our knowledge, such dynamic properties are rarely
analyzed in many non-polynomial models.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2025.1431},
url = {http://global-sci.org/intro/article_detail/jnma/24244.html}
}