@Article{JNMA-6-3,
author = {Zhang, Qing and Zhengdong, Du},
title = {An Example of Piecewise Linear Systems with Infinitely Many Limit Cycles Separated by a Piecewise Linear Curve and Its Perturbations},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2024},
volume = {6},
number = {3},
pages = {759--774},
abstract = {<p style="text-align: justify;">In this paper, we present an example of piecewise linear systems
with infinitely many crossing limit cycles defined in two zones separated by
a piecewise linear curve with countable corners. Then we prove that under
piecewise linear perturbations, the perturbed system can have infinitely many
limit cycles, or exactly $ℓ$ limit cycles for any given nonnegative integer $ℓ.$</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2024.759},
url = {https://global-sci.com/article/91180/an-example-of-piecewise-linear-systems-with-infinitely-many-limit-cycles-separated-by-a-piecewise-linear-curve-and-its-perturbations}
}