TY - JOUR
T1 - A Note on the Bendixson-Dulac Theorem for Refracted Systems with Multiple Zones
AU - Li , Shimin
AU - Chen , Hebai
AU - Chen , Ting
AU - Wu , Kuilin
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 275
EP - 281
PY - 2021
DA - 2021/04
SN - 3
DO - http://doi.org/10.12150/jnma.2021.275
UR - https://global-sci.org/intro/article_detail/jnma/18790.html
KW - Bendixson-Dulac theorem, Refracted system, Limit cycle.
AB - <p style="text-align: justify;">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].</p>