Volume 105, Number 1, January 2014
|Number of page(s)||6|
|Published online||29 January 2014|
Extreme variability in convergence to structural balance in frustrated dynamical systems
1 The Institute of Mathematical Sciences, CIT Campus - Taramani, Chennai 600113, India
2 Department of Physics, University of Calcutta - 92 Acharya Prafulla Chandra Road, Kolkata 700009, India
Received: 26 September 2013
Accepted: 2 January 2014
In many complex systems, heterogeneous connections can subject constituent elements to conflicting influences, resulting in frustration. Here we show numerically that an initially frustrated system can achieve structural balance by a link adaptation process inspired by Hebb's principle, with interaction strengths evolving in accordance with the dynamical states of its components. In the presence of fluctuations the time required to converge to the balanced state exhibits large dispersion characterized by a bimodal distribution, pointing to an intriguing problem in the study of evolving energy landscapes.
PACS: 05.65.+b – Self-organized systems / 89.75.Fb – Structures and organization in complex systems / 75.10.Nr – Spin-glass and other random models
© EPLA, 2014
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.