Abstract
This paper reports a bidirectional ring network model with delay. Zero-Hopf bifurcation is studied by using the center manifold reduction and the normal form method for retarded functional differential equation. We get the versal unfolding of the norm forms at the zero-Hopf singularity and show that the model can exhibit pitchfork and Hopf bifurcation. Some numerical simulations are given to support the analytic results, and near the zero-Hopf singularity point, this model displays quasi-periodic, double periodic and multiple periodic trajectory.
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.