TY - JOUR
T1 - When will a large complex system be stable?
AU - Cohen, Joel E.
AU - Newman, Charles M.
N1 - Funding Information:
R. M. May and H. M. Hastings kindly reviewed earlier drafts of this paper. Our work was supported in part by U.S. National Science Foundation grants DEB80-11026 and BSR84-07461 to J.E.C. and MCS80-19384 to C.M.N., and by the hospitality of Mr and Mrs William T. Golden to J.E.C.
PY - 1985/3/7
Y1 - 1985/3/7
N2 - 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.
AB - 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.
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U2 - 10.1016/S0022-5193(85)80081-3
DO - 10.1016/S0022-5193(85)80081-3
M3 - Article
AN - SCOPUS:0000798759
SN - 0022-5193
VL - 113
SP - 153
EP - 156
JO - Journal of Theoretical Biology
JF - Journal of Theoretical Biology
IS - 1
ER -