Literature DB >> 14525187

Distributed delays facilitate amplitude death of coupled oscillators.

Fatihcan M Atay1.   

Abstract

Coupled oscillators are shown to experience amplitude death for a much larger set of parameter values when they are connected with time delays distributed over an interval rather than concentrated at a point. Distributed delays enlarge and merge death islands in the parameter space. Furthermore, when the variance of the distribution is larger than a threshold, the death region becomes unbounded and amplitude death can occur for any average value of delay. These phenomena are observed even with a small spread of delays, for different distribution functions, and an arbitrary number of oscillators.

Mesh:

Year:  2003        PMID: 14525187     DOI: 10.1103/PhysRevLett.91.094101

Source DB:  PubMed          Journal:  Phys Rev Lett        ISSN: 0031-9007            Impact factor:   9.161


  13 in total

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Authors:  Rabiya Noori; Daniel Park; John D Griffiths; Sonya Bells; Paul W Frankland; Donald Mabbott; Jeremie Lefebvre
Journal:  Proc Natl Acad Sci U S A       Date:  2020-06-01       Impact factor: 11.205

2.  Synchronization of degrade-and-fire oscillations via a common activator.

Authors:  William Mather; Jeff Hasty; Lev S Tsimring
Journal:  Phys Rev Lett       Date:  2014-09-16       Impact factor: 9.161

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Journal:  Philos Trans A Math Phys Eng Sci       Date:  2017-03-06       Impact factor: 4.226

4.  Diverse routes to oscillation death in a coupled oscillator system.

Authors:  José J Suárez-Vargas; Jorge A González; Aneta Stefanovska; Peter V E McClintock
Journal:  Europhys Lett       Date:  2009-02-13       Impact factor: 1.947

Review 5.  Phase response approaches to neural activity models with distributed delay.

Authors:  Marius Winkler; Grégory Dumont; Eckehard Schöll; Boris Gutkin
Journal:  Biol Cybern       Date:  2021-12-02       Impact factor: 2.086

6.  Dynamical quorum-sensing in oscillators coupled through an external medium.

Authors:  David J Schwab; Ania Baetica; Pankaj Mehta
Journal:  Physica D       Date:  2012-11-01       Impact factor: 2.300

Review 7.  Connectivity and dynamics of neural information processing.

Authors:  Viktor K Jirsa
Journal:  Neuroinformatics       Date:  2004

8.  Theta band zero-lag long-range cortical synchronization via hippocampal dynamical relaying.

Authors:  Leonardo L Gollo; Claudio R Mirasso; Mercedes Atienza; Maite Crespo-Garcia; Jose L Cantero
Journal:  PLoS One       Date:  2011-03-08       Impact factor: 3.240

9.  Restoration of rhythmicity in diffusively coupled dynamical networks.

Authors:  Wei Zou; D V Senthilkumar; Raphael Nagao; István Z Kiss; Yang Tang; Aneta Koseska; Jinqiao Duan; Jürgen Kurths
Journal:  Nat Commun       Date:  2015-07-15       Impact factor: 14.919

10.  Stability constraints on large-scale structural brain networks.

Authors:  Richard T Gray; Peter A Robinson
Journal:  Front Comput Neurosci       Date:  2013-04-12       Impact factor: 2.380

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