Abstract
Synchronization of coupled oscillators is important for understanding collective dynamics of a variety of natural and artificial systems including neuronal networks, Josephson junctions, and power grids. Despite this ubiquity, it remains unclear how the interaction between oscillator’s dynamics and coupled structure either promotes or inhibits synchrony. Here, we introduce a Lyapunov function of the system such that it can be readily optimized to enhance synchrony of even heterogeneous oscillators on sparse networks. We consider two optimizing problems: frequency allocation and network design. Numerical experiments show that the proposed criterion outperform the promising methods, which is explained by a theoretical framework of the correlation between node degree and frequency magnitude.
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 callMore From: Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena
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.
