Temporal sequences and chaos in neural nets
Exact deterministic equations for the evolution of temporal sequences with a delay stabilization and heat-bath dynamics are derived. The temperature may be arbitrary and both parallel and sequential updating are allowed. The equations display limit-cycle oscillations with a broad diversity of wavefo...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
1 July 1988
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| In: |
Physical review. A, Atomic, molecular, and optical physics
Year: 1988, Volume: 38, Issue: 2, Pages: 1105-1108 |
| ISSN: | 1094-1622 |
| DOI: | 10.1103/PhysRevA.38.1105 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1103/PhysRevA.38.1105 Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.38.1105 
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| Author Notes: | U. Riedel, R. Kühn, and J. L. van Hemmen (Sonderforschungsbereich 123 an der Universität Heidelberg) |
| Summary: | Exact deterministic equations for the evolution of temporal sequences with a delay stabilization and heat-bath dynamics are derived. The temperature may be arbitrary and both parallel and sequential updating are allowed. The equations display limit-cycle oscillations with a broad diversity of waveforms. For exponential delay it is shown how an increase of the transition amplitude leads to local chaos. |
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| Item Description: | Elektronische Reproduktion der Druckausgabe |
| Physical Description: | Online Resource |
| ISSN: | 1094-1622 |
| DOI: | 10.1103/PhysRevA.38.1105 |