The length of attractors in asymmetric random neural networks with deterministic dynamics
- 7 February 1991
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 24 (3) , L151-L157
- https://doi.org/10.1088/0305-4470/24/3/010
Abstract
The author has developed a method to detect attractors of any length in large neural networks with up to 1024 neurons within a reasonable period of CPU-time. In networks with symmetric couplings only stable states and, in the case of parallel dynamics, cycles of length 2 exist. The presented simulations suggest that, in sufficiently large systems, this holds also for couplings up to a distinct value of asymmetry. Beyond this value extremely long cycles are detected and the average cycle length depends exponentially on system size.Keywords
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