Abstract
The van der Pol equation with continuous distributed time delay is given. Its linear stability is investigated by employing the Routh–Hurwitz criteria. Moreover, the local asymptotic stability conditions are also derived. By using the mean time delay as a bifurcation parameter, the model is found to undergo a sequence of Hopf bifurcations. The direction and the stability criteria of the bifurcating periodic solutions are obtained by applying the norm form theory and the center manifold theorem. Some numerical simulation examples for justifying the theoretical results are also given.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
