### Abstract

Attractor properties of a popular discrete-time neural network model are illustrated through numerical simulations. The most complex dynamics is found to occur within particular ranges of parameters controlling the symmetry and magnitude of the weight matrix. A small network model is observed to produce fixed points, limit cycles, mode-locking, the Ruelle-Takens route to chaos, and the period-doubling route to chaos.
Training algorithms for tuning this dynamical behaviour are discussed. Training can be an easy or difficult task, depending whether the problem requires the use of temporal information distributed over long time intervals. Such problems require training algorithms which can handle hidden nodes. The most prominent of these algorithms, back propagation through time, solves the temporal credit assignment problem in a way which can work only if the relevant information is distributed locally in time. The Moving Targets algorithm works for the more general case, but is computationally intensive, and prone to local minima.

Original language | English |
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Publication status | Published - 1991 |

Event | Neurodynamics, Proceedings of the 9th Summer Workshop - Arnold Sommerfeld Institute for Mathematical Physics, Clausthal, Germany Duration: 1 Jan 1991 → 1 Jan 1991 |

### Workshop

Workshop | Neurodynamics, Proceedings of the 9th Summer Workshop |
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Country | Germany |

City | Arnold Sommerfeld Institute for Mathematical Physics, Clausthal |

Period | 1/01/91 → 1/01/91 |

### Keywords

- popular discrete-time neural
- network model
- simulations
- weight matrix
- algorithms
- dynamical behaviour
- temporal information
- temporal credit assignment

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## Cite this

Rohwer, R., Pasemann, F. (Ed.), & Doebner, H. D. (Ed.) (1991).

*Description and training of neural network dynamics*. Paper presented at Neurodynamics, Proceedings of the 9th Summer Workshop, Arnold Sommerfeld Institute for Mathematical Physics, Clausthal, Germany.