Abstract
In this work, we study dynamical behavior in a ring of coupled nonlinear oscillators and focus on the stability of homogeneous steady state and splay states by performing linear stability analysis. Different cases from local (nearest-neighbor) coupling to global (all-to-all) coupling by increasing the range of coupling are studied. Some explicit stability results for each possible splay state are analytically obtained. It is valuable to compare their similarities and differences for these different cases. All these results could shed improved light on our understanding of the organization of splay states in coupled oscillators.
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.
