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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Hauptverfasser: Riedel, Uwe (VerfasserIn) , Kühn, Reimer (VerfasserIn) , Hemmen, Jan L. van (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 1 July 1988
In: Physical review. A, Atomic, molecular, and optical physics
Year: 1988, Jahrgang: 38, Heft: 2, Pages: 1105-1108
ISSN:1094-1622
DOI:10.1103/PhysRevA.38.1105
Online-Zugang:Verlag, Volltext: http://dx.doi.org/10.1103/PhysRevA.38.1105
Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.38.1105
Volltext
Verfasserangaben:U. Riedel, R. Kühn, and J. L. van Hemmen (Sonderforschungsbereich 123 an der Universität Heidelberg)
Beschreibung
Zusammenfassung: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.
Beschreibung:Elektronische Reproduktion der Druckausgabe
Beschreibung:Online Resource
ISSN:1094-1622
DOI:10.1103/PhysRevA.38.1105