When will a large complex system be stable?

Joel E. Cohen, Charles M. Newman

Research output: Contribution to journalArticle

Abstract

May (1972, 1973) and Hastings (1982a, b, 1983a, b) announced criteria for the probable stability or instability, as n ↑ ∞, of systems of n linear ordinary differential equations or difference equations with random coefficients fixed in time. However, simple, explicit counter-examples show that, without some additional conditions, the claims of May and Hastings can be false.

Original languageEnglish (US)
Pages (from-to)153-156
Number of pages4
JournalJournal of Theoretical Biology
Volume113
Issue number1
DOIs
StatePublished - Mar 7 1985

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

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