Jain, Sanjay ; Krishna, Sandeep (2002) Crashes, recoveries, and "core shifts" in a model of evolving networks Physical Review E, 65 (2). 026103_1-026103_4. ISSN 1063-651X
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Official URL: http://pre.aps.org/abstract/PRE/v65/i2/e026103
Related URL: http://dx.doi.org/10.1103/PhysRevE.65.026103
Abstract
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 self- organizes 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: | Article |
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Source: | Copyright of this article belongs to American Physical Society. |
ID Code: | 12756 |
Deposited On: | 10 Nov 2010 08:42 |
Last Modified: | 16 May 2016 22:01 |
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