@Article{JNMA-6-759, author = {Zhang , Qing and Du , Zhengdong}, 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 = {

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 $ℓ.$

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.759}, url = {http://global-sci.org/intro/article_detail/jnma/23361.html} }