Literature DB >> 18764031

Partially locked states in coupled oscillators due to inhomogeneous coupling.

Tae-Wook Ko1, G Bard Ermentrout.   

Abstract

We investigate coupled identical phase oscillators with scale-free distribution of coupling strength. It is shown that partially locked states can occur due to the inhomogeneity in coupling and some properties of the coupling function. Various quantities of the partially locked states are computed through a self-consistency argument and the values show good agreement with simulation results.

Year:  2008        PMID： 18764031     DOI： 10.1103/PhysRevE.78.016203

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


  7 in total

1.  Various synchronous states due to coupling strength inhomogeneity and coupling functions in systems of coupled identical oscillators.

Authors:  Junhyeok Kim; Joon-Young Moon; Uncheol Lee; Seunghwan Kim; Tae-Wook Ko
Journal:  Chaos       Date:  2019-01       Impact factor: 3.642

2.  Managing heterogeneity in the study of neural oscillator dynamics.

Authors:  Carlo R Laing; Yu Zou; Ben Smith; Ioannis G Kevrekidis
Journal:  J Math Neurosci       Date:  2012-03-14       Impact factor: 1.300

3.  Sparse gamma rhythms arising through clustering in adapting neuronal networks.

Authors:  Zachary P Kilpatrick; Bard Ermentrout
Journal:  PLoS Comput Biol       Date:  2011-11-17       Impact factor: 4.475

4.  General relationship of global topology, local dynamics, and directionality in large-scale brain networks.

Authors:  Joon-Young Moon; UnCheol Lee; Stefanie Blain-Moraes; George A Mashour
Journal:  PLoS Comput Biol       Date:  2015-04-14       Impact factor: 4.475

5.  Structure Shapes Dynamics and Directionality in Diverse Brain Networks: Mathematical Principles and Empirical Confirmation in Three Species.

Authors:  Joon-Young Moon; Junhyeok Kim; Tae-Wook Ko; Minkyung Kim; Yasser Iturria-Medina; Jee-Hyun Choi; Joseph Lee; George A Mashour; UnCheol Lee
Journal:  Sci Rep       Date:  2017-04-20       Impact factor: 4.379

Review 6.  A Brief Review of Chimera State in Empirical Brain Networks.

Authors:  Zhenhua Wang; Zonghua Liu
Journal:  Front Physiol       Date:  2020-06-30       Impact factor: 4.566

7.  Phase-lags in large scale brain synchronization: Methodological considerations and in-silico analysis.

Authors:  Spase Petkoski; J Matias Palva; Viktor K Jirsa
Journal:  PLoS Comput Biol       Date:  2018-07-10       Impact factor: 4.475
  7 in total

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