Qualitative behaviour of some simple networks

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

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Showing 1-10 of 34 references

Piecewise affine bijections of R, and the equation Sx+ − T x− = y

  • D Kuhn, R Löwen
  • Linear Alg. Appl
  • 1987
Highly Influential
4 Excerpts

The convergence of the Hopfield type model Adv

  • J Feng
  • Math .
  • 1994
1 Excerpt

Analysis of Linsker type Hebbian learning : rigorous results Proc

  • J Feng, H Pan
  • 1993

Analysis of Linsker type Hebbian learning: rigorous results

  • J Feng, H Pan
  • IEEE Conf. on Neural Networks
  • 1993

Introduction to the Theory of Neural Computation (Reading, MA: Addison-Wesley

  • J Hertz, A Krogh, R GPalmer
  • 1991
1 Excerpt

Piecewise affine bijections of R n , and the equation Sx + − T x − = y . Linear Alg .

  • D Kuhn, R L̈owen
  • Appl .
  • 1987

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