Document Type
Article
Publication Date
2-2016
Publication Title
Systems & Control Letters
Volume
88
Publisher
Elsevier
Abstract
Pulse-coupled oscillators (PCOs) are limit cycle oscillators coupled by exchanging pulses at discrete time instants. Their importance in biology and engineering has motivated numerous studies aiming to understand the basic synchronization properties of a network of PCOs. In this work, we study synchronization of PCOs subject to a global pacemaker (or global cue) and local interactions between slave oscillators. We characterize solutions and give synchronization conditions using the phase response curve (PRC) as the design element, which is restricted to be of the delay type in the first half of the cycle, interval (0,π)(0,π), and of the advance type in the second half of the cycle, interval (π,2π)(π,2π). It is shown that global synchronization is feasible when using an advance-delay PRC if the influence of the global cue is strong enough. Numerical examples are provided to illustrate the analytical findings.
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Comments
This manuscript has been published in the journal Systems & Control Letters. Please find the published version here (note that a subscription is necessary to access this version):
http://www.sciencedirect.com/science/article/pii/S0167691115002431
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