eprintid: 1443537
rev_number: 52
eprint_status: archive
userid: 608
dir: disk0/01/44/35/37
datestamp: 2014-09-02 13:31:12
lastmod: 2021-10-21 23:17:01
status_changed: 2014-09-02 13:31:12
type: article
metadata_visibility: show
item_issues_count: 0
creators_name: Wray, CM
creators_name: Bishop, S
title: Cascades on a stochastic pulse-coupled network
ispublished: pub
divisions: UCL
divisions: B04
divisions: C06
divisions: F59
note: © 2014 Macmillan Publishers Limited. This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article's Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder in order to reproduce the material.
abstract: While much recent research has focused on understanding isolated cascades of networks, less attention has been given to dynamical processes on networks exhibiting repeated cascades of opposing influence. An example of this is the dynamic behaviour of financial markets where cascades of buying and selling can occur, even over short timescales. To model these phenomena, a stochastic pulse-coupled oscillator network with upper and lower thresholds is described and analysed. Numerical confirmation of asynchronous and synchronous regimes of the system is presented, along with analytical identification of the fixed point state vector of the asynchronous mean field system. A lower bound for the finite system mean field critical value of network coupling probability is found that separates the asynchronous and synchronous regimes. For the low-dimensional mean field system, a closed-form equation is found for cascade size, in terms of the network coupling probability. Finally, a description of how this model can be applied to interacting agents in a financial market is provided.
date: 2014
publisher: Nature Publishing Group
official_url: http://dx.doi.org/10.1038/srep06355
vfaculties: VMPS
oa_status: green
full_text_type: pub
language: eng
primo: open
primo_central: open_green
article_type_text: Article
verified: verified_manual
elements_source: Manually entered
elements_id: 972392
doi: 10.1038/srep06355
lyricists_name: Bishop, Steven
lyricists_name: Wray, Christopher
lyricists_id: SRBIS03
lyricists_id: CMWRA15
full_text_status: public
publication: Scientific Reports
number: 4
article_number: 6355
issn: 2045-2322
citation:        Wray, CM;    Bishop, S;      (2014)    Cascades on a stochastic pulse-coupled network.                   Scientific Reports   (4)    , Article 6355.  10.1038/srep06355 <https://doi.org/10.1038/srep06355>.       Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/1443537/1/srep06355.pdf