Determinants of stability of large randomly connected systems
Journal of Theoretical BiologyPublished 1 March 1975
R. E. McMurtrie
Citations66
SJR quartileQ2
SJR score0.53
SNIP0.71
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Abstract
Monte Carlo studies of the stability of the random real matrix are used to deduce general principles concerning the stability of large complex systems. The relationships between stability and the size, connectance and hierarchy of the system are investigated to reveal that, in general, increases in system size and connectance have a destabilizing effect while the introduction of even a crude hierarchy (as discussed in the text) has a stabilizing effect.
Keywords
MathematicsPhysics and Astronomy
NatureWill a Large Complex System be Stable?
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It is suggested that large complex systems which are assembled (connected) at random may be expected to be stable up to a certain critical level of connectance, and then, as this increases, to suddenly become unstable.
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NatureConnectance of Large Dynamic (Cybernetic) Systems: Critical Values for Stability
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The work described here was intended to add to present theoretical knowledge of stability in large systems, for instability usually appears as a self-generating catastrophe.