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Crashes, Recoveries, and 'Core-Shifts' in a Model of Evolving Networks

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  • Sanjay Jain
  • Sandeep Krishna
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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.

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    Bibliographic Info

    Paper provided by Santa Fe Institute in its series Working Papers with number 01-12-075.

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    Date of creation: Dec 2001
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    Handle: RePEc:wop:safiwp:01-12-075

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    Related research

    Keywords: Evolution; autocatalytic sets; extinction; recovery; network dynamics;

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