Abstract
The problem of synchronization of oscillators that are not coupled directly but are connected to a common disturbance has been studied in this work. Mathematical formalisms to obtain sufficient coupling gain for synchronization of a complex network of oscillators forced by a common disturbance have been developed. The Lyapunov stability approach using quadratic Lyapunov function and non-smooth Lyapunov function has been used for the purpose. The networked oscillatory systems considered are formed by Van der Pol and Fitzhugh Nagumo oscillators independently. These oscillators are diffusively coupled to common disturbance. The comparison of analytical approaches has been made, and the results are validated through numerical simulations.
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.
