Literature DB >> 12689150

Synchronization in oscillator networks with delayed coupling: a stability criterion.

Matthew G Earl1, Steven H Strogatz.   

Abstract

We derive a stability criterion for the synchronous state in networks of identical phase oscillators with delayed coupling. The criterion applies to any network (whether regular or random, low dimensional or high dimensional, directed or undirected) in which each oscillator receives delayed signals from k others, where k is uniform for all oscillators.

Year:  2003        PMID： 12689150     DOI： 10.1103/PhysRevE.67.036204

Source DB:  PubMed          Journal:  Phys Rev E Stat Nonlin Soft Matter Phys        ISSN： 1539-3755


  15 in total

1.  Delayed coupling theory of vertebrate segmentation.

Authors:  Luis G Morelli; Saúl Ares; Leah Herrgen; Christian Schröter; Frank Jülicher; Andrew C Oates
Journal:  HFSP J       Date:  2008-12-10

2.  Entrainment in up and down states of neural populations: non-smooth and stochastic models.

Authors:  Zachary T McCleney; Zachary P Kilpatrick
Journal:  J Math Biol       Date:  2016-03-14       Impact factor: 2.259

3.  Intercellular delay regulates the collective period of repressively coupled gene regulatory oscillator networks.

Authors:  Yongqiang Wang; Yutaka Hori; Shinji Hara; Francis J Doyle
Journal:  IEEE Trans Automat Contr       Date:  2014-01       Impact factor: 5.792

4.  Effects of conduction delays on the existence and stability of one to one phase locking between two pulse-coupled oscillators.

Authors:  Michael Marmaduke Woodman; Carmen C Canavier
Journal:  J Comput Neurosci       Date:  2011-02-23       Impact factor: 1.621

5.  Inclusion of noise in iterated firing time maps based on the phase response curve.

Authors:  Fred H Sieling; Carmen C Canavier; Astrid A Prinz
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2010-06-25

6.  Globally attracting synchrony in a network of oscillators with all-to-all inhibitory pulse coupling.

Authors:  Carmen C Canavier; Ruben A Tikidji-Hamburyan
Journal:  Phys Rev E       Date:  2017-03-16       Impact factor: 2.529

7.  Phase response theory extended to nonoscillatory network components.

Authors:  Fred H Sieling; Santiago Archila; Ryan Hooper; Carmen C Canavier; Astrid A Prinz
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2012-05-14

8.  Stability of climate networks with time.

Authors:  Y Berezin; A Gozolchiani; O Guez; S Havlin
Journal:  Sci Rep       Date:  2012-09-18       Impact factor: 4.379

Review 9.  Connectivity and dynamics of neural information processing.

Authors:  Viktor K Jirsa
Journal:  Neuroinformatics       Date:  2004

10.  Dynamic Causal Models for phase coupling.

Authors:  W D Penny; V Litvak; L Fuentemilla; E Duzel; K Friston
Journal:  J Neurosci Methods       Date:  2009-07-02       Impact factor: 2.390
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