Year: 2021
Author: Shimin Li, Hebai Chen, Ting Chen, Kuilin Wu
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 2 : pp. 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].
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2021.275
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 2 : pp. 275–281
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: Bendixson-Dulac theorem Refracted system Limit cycle.