Collective behaviour induced by network volatility

Claudio J. Tessone

Working Papers from ETH Zurich, Chair of Systems Design

Abstract: Many systems exhibit patterns of interaction that are largely sparse and volatile at the same time. Sparsity is a common trait in networks where links are costly, or the nodes involved have some kind of limited capacity. Volatility refers to the fact that edges tend to have very low persistence (compared to the observation period of the network evolution): the patterns of interaction are therefore characterised by a decay time after which the network topology is largely decorrelated with the previous time-step. Here, we introduce a simple model for temporal networks compatible with an arbitrary time-aggregated network, whose volatility can be adjusted. When volatility is too large, the instantaneous network experiences a percolation transition, to a largely disconnected structure. Interestingly, we show a non-trivial relationship between network volatility and the properties of dynamical processes taking place in the nodes of the system. We show that a phase transition towards between non-trivial dynamical states (like synchronisation, or infection propagation) is not-related to the topological transition to percolation, having different critical points. Moreover, we show that long range correlations emerge in the limit of very large network volatility.

Keywords: temporal networks; long-range correlations (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-net
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
ftp://web.sg.ethz.ch/RePEc/stz/wpaper/pdf/ETH-RC-14-010.pdf (application/pdf)
Our link check indicates that this URL is bad, the error code is: 500 Failed to connect to FTP server web.sg.ethz.ch: A connection attempt failed because the connected party did not properly respond after a period of time, or established connection failed because connected host has failed to respond.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:stz:wpaper:eth-rc-14-010

Access Statistics for this paper

More papers in Working Papers from ETH Zurich, Chair of Systems Design Contact information at EDIRC.
Bibliographic data for series maintained by Claudio J. Tessone ( this e-mail address is bad, please contact ).