Abstract

GARDNER and Ashby1 have given an account of the sudden onset of instability at a particular connectance in a set of N first-order linear equations, described by ẋi = Aijxj. They gave graphs for N = 4, 7 and 10, showing how the probability of stability varied with the connectivity, C, which was defined as the fraction of the coefficients Aij (i ≠ j) allowed to be non-zero. These couplings, Aij, were uniformly distributed randomly between +1.0 and −1.0, and the diagonal terms, Aii, were uniformly distributed between −0.1 and −1.0. This result seemed to be of great importance as a model for many real systems.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.