Publication

Synchronization of Pulse-Coupled Oscillators and Clocks under Minimal Connectivity Assumptions

Proskurnikov, A. V. & Cao, M., 22-Nov-2017, In : IEEE Transactions on Automatic Control. 62, 11, p. 5873-5879 7 p.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Proskurnikov, A. V., & Cao, M. (2017). Synchronization of Pulse-Coupled Oscillators and Clocks under Minimal Connectivity Assumptions. IEEE Transactions on Automatic Control, 62(11), 5873-5879. https://doi.org/10.1109/TAC.2016.2644538

Author

Proskurnikov, Anton V ; Cao, Ming. / Synchronization of Pulse-Coupled Oscillators and Clocks under Minimal Connectivity Assumptions. In: IEEE Transactions on Automatic Control. 2017 ; Vol. 62, No. 11. pp. 5873-5879.

Harvard

Proskurnikov, AV & Cao, M 2017, 'Synchronization of Pulse-Coupled Oscillators and Clocks under Minimal Connectivity Assumptions', IEEE Transactions on Automatic Control, vol. 62, no. 11, pp. 5873-5879. https://doi.org/10.1109/TAC.2016.2644538

Standard

Synchronization of Pulse-Coupled Oscillators and Clocks under Minimal Connectivity Assumptions. / Proskurnikov, Anton V; Cao, Ming.

In: IEEE Transactions on Automatic Control, Vol. 62, No. 11, 22.11.2017, p. 5873-5879.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Proskurnikov AV, Cao M. Synchronization of Pulse-Coupled Oscillators and Clocks under Minimal Connectivity Assumptions. IEEE Transactions on Automatic Control. 2017 Nov 22;62(11):5873-5879. https://doi.org/10.1109/TAC.2016.2644538


BibTeX

@article{727d0f1323c9413b87ad5603aea8016b,
title = "Synchronization of Pulse-Coupled Oscillators and Clocks under Minimal Connectivity Assumptions",
abstract = "Populations of flashing fireflies, claps of applauding audience, cells of cardiac and circadian pacemakers reach synchrony via event-triggered interactions, referred to as pulse couplings. Synchronization via pulse coupling is widely used in wireless sensor networks, providing clock synchronization with parsimonious packet exchanges. In spite of serious attention paid to networks of pulse coupled oscillators, there is a lack of mathematical results, addressing networks with general communication topologies and general phase-response curves of the oscillators. The most general results of this type (Wang et al., 2012, 2015)establish synchronization of oscillators with a delay-advance phase-response curve over strongly connected networks. In this paper we extend this result by relaxing the connectivity condition to the existence of a root node (or a directed spanning tree) in the graph. This condition is also necessary for synchronization.",
keywords = "STABILITY, NETWORKS, PHASE-RESPONSE CURVES, SYSTEMS",
author = "Proskurnikov, {Anton V} and Ming Cao",
year = "2017",
month = "11",
day = "22",
doi = "10.1109/TAC.2016.2644538",
language = "English",
volume = "62",
pages = "5873--5879",
journal = "IEEE-Transactions on Automatic Control",
issn = "0018-9286",
publisher = "IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC",
number = "11",

}

RIS

TY - JOUR

T1 - Synchronization of Pulse-Coupled Oscillators and Clocks under Minimal Connectivity Assumptions

AU - Proskurnikov, Anton V

AU - Cao, Ming

PY - 2017/11/22

Y1 - 2017/11/22

N2 - Populations of flashing fireflies, claps of applauding audience, cells of cardiac and circadian pacemakers reach synchrony via event-triggered interactions, referred to as pulse couplings. Synchronization via pulse coupling is widely used in wireless sensor networks, providing clock synchronization with parsimonious packet exchanges. In spite of serious attention paid to networks of pulse coupled oscillators, there is a lack of mathematical results, addressing networks with general communication topologies and general phase-response curves of the oscillators. The most general results of this type (Wang et al., 2012, 2015)establish synchronization of oscillators with a delay-advance phase-response curve over strongly connected networks. In this paper we extend this result by relaxing the connectivity condition to the existence of a root node (or a directed spanning tree) in the graph. This condition is also necessary for synchronization.

AB - Populations of flashing fireflies, claps of applauding audience, cells of cardiac and circadian pacemakers reach synchrony via event-triggered interactions, referred to as pulse couplings. Synchronization via pulse coupling is widely used in wireless sensor networks, providing clock synchronization with parsimonious packet exchanges. In spite of serious attention paid to networks of pulse coupled oscillators, there is a lack of mathematical results, addressing networks with general communication topologies and general phase-response curves of the oscillators. The most general results of this type (Wang et al., 2012, 2015)establish synchronization of oscillators with a delay-advance phase-response curve over strongly connected networks. In this paper we extend this result by relaxing the connectivity condition to the existence of a root node (or a directed spanning tree) in the graph. This condition is also necessary for synchronization.

KW - STABILITY

KW - NETWORKS

KW - PHASE-RESPONSE CURVES

KW - SYSTEMS

U2 - 10.1109/TAC.2016.2644538

DO - 10.1109/TAC.2016.2644538

M3 - Article

VL - 62

SP - 5873

EP - 5879

JO - IEEE-Transactions on Automatic Control

JF - IEEE-Transactions on Automatic Control

SN - 0018-9286

IS - 11

ER -

ID: 36428453