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Crashes, recoveries, and ‘‘core shifts’’ in a model of evolving networks

Jain, Sanjay and Krishna, Sandeep (2002) Crashes, recoveries, and ‘‘core shifts’’ in a model of evolving networks. In: Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 65 (2). 026103/1-4.


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A model of an evolving network of interacting molecular species is shown to exhibit repeated rounds of crashes in which several species get rapidly depopulated, followed by recoveries. The network inevitably selforganizes into an autocatalytic structure, which consists of an irreducible ‘‘core’’ surrounded by a parasitic ‘‘periphery.’’ Crashes typically occur when the existing autocatalytic set becomes fragile and suffers a ‘‘core shift,’’ defined graph theoretically. The nature of the recovery after a crash, in particular, the time of recovery, depends upon the organizational structure that survives the crash. The largest eigenvalue of the adjacency matrix of the graph is an important signal of network fragility or robustness.

Item Type: Journal Article
Publication: Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
Publisher: American Physical Society (APS)
Additional Information: The DOI is currently only displayed. Copyright for this article belongs to American Physical Society (APS)
Department/Centre: Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited: 25 Jun 2004
Last Modified: 19 Sep 2010 04:12
URI: http://eprints.iisc.ac.in/id/eprint/426

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