@Article{JNMA-3-2, author = {Shimin, Li and Hebai, Chen and Ting, Chen and Wu, Kuilin}, title = {A Note on the Bendixson-Dulac Theorem for Refracted Systems with Multiple Zones}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {3}, number = {2}, pages = {275--281}, abstract = {
This note extends the Bendixson-Dulac theorem to refracted systems with multiple zones. As an application, we prove that piecewise linear Duffing-type system has neither crossing limit cycles nor sliding limit cycles Therefore, it gives a positive answer to the Conjecture of [16].
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2021.275}, url = {https://global-sci.com/article/87961/a-note-on-the-bendixson-dulac-theorem-for-refracted-systems-with-multiple-zones} }