When will a large complex system be stable?

Joel E. Cohen, Charles 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

Fingerprint

Random Coefficients
Linear Ordinary Differential Equations
Probable
Difference equation
Counterexample
Large scale systems
Complex Systems
Difference equations
Ordinary differential equations
False

ASJC Scopus subject areas

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

Cite this

When will a large complex system be stable? / Cohen, Joel E.; Newman, Charles.

In: Journal of Theoretical Biology, Vol. 113, No. 1, 07.03.1985, p. 153-156.

Research output: Contribution to journalArticle

Cohen, Joel E. ; Newman, Charles. / When will a large complex system be stable?. In: Journal of Theoretical Biology. 1985 ; Vol. 113, No. 1. pp. 153-156.
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