Abstract
In this paper, we study the number of limit cycles for discontinuous piecewise differential systems formed by two differential systems separated by a straight line, when these differential systems are quadratic isochronous centers in a half-plane and the cubic isochronous centers in the other one. We deal with eight classes of discontinuous piecewise differential systems formed by these types of isochronous centers, and we provide an upper bound for the maximum number of limit cycles for these classes that can exhibit. Also, we show that the corresponding maximum number of limit cycles in four classes is reached.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.