Highly Influenced

# Qualitative behaviour of some simple networks

@inproceedings{Feng1996QualitativeBO, title={Qualitative behaviour of some simple networks}, author={Jianwei Feng and Karl Peter Hadeler}, year={1996} }

- Published 1996

Some classical neural network systems including the Hartline–Ratliff system, the Linsker system, and the general sigmoid dynamics, are reconsidered within a more general class of dynamical systems. For synchronous dynamics the existence, uniqueness, local and global stability of stationary points is investigated. For asynchronous dynamics a convergence theorem is proved. The application of the theory of quasimonotone flows leads to some insights so far not widespread in network theory.