Crashes, recoveries, and “core shifts” in a model of evolving networks

Sanjay Jain and Sandeep Krishna
Phys. Rev. E 65, 026103 – Published 9 January 2002
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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.

  • Received 17 July 2001

DOI:https://doi.org/10.1103/PhysRevE.65.026103

©2002 American Physical Society

Authors & Affiliations

Sanjay Jain1,2,3,* and Sandeep Krishna1,†

  • 1Centre for Theoretical Studies, Indian Institute of Science, Bangalore 560 012, India
  • 2Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, New Mexico 87501
  • 3Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore 560 064, India

  • *Email address: jain@cts.iisc.ernet.in
  • Email address: sandeep@physics.iisc.ernet.in

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Issue

Vol. 65, Iss. 2 — February 2002

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