@Article{JNMA-3-275, author = {Li , ShiminChen , HebaiChen , Ting 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 = {http://global-sci.org/intro/article_detail/jnma/18790.html} }