On the dynamics of analogue neurons with nonsigmoidal gain functions

D. Bollé and B. Vinck

Physica A: Statistical Mechanics and its Applications, 1996, vol. 223, issue 3, 293-308

Abstract: The characteristic properties of the macroscopic retrieval dynamics of analogue neurons with Hebbian coupling strengths are studied, usign the shape of the gain function as a modeling parameter. Already at low loading a rich diversity in dynamical behaviour is observed, covering the full range from point attractors to chaotic dynamics. The attractors which are not of the fixed-point-type, are interpreted as an intermediate phase between the well-known retrieval states and the zero state, enabling a waiting-mode in the system. Using a probabilistic approach it is shown that these features persist in extremely and asymmetrically diluted systems at sufficiently low loading. A number of generic examples are worked out in detail, illustrating some properties of networks governed by nonmonotonic piecewise linear gain functions. The critical storage level above which the chaotic behaviour is absent, is numerically determined.

Keywords: Nonsigmoidal neurons; Parallel dynamics; Chaotic behaviour; Probabilistic approach (search for similar items in EconPapers)
Date: 1996
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/037843719500341X
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:223:y:1996:i:3:p:293-308

DOI: 10.1016/0378-4371(95)00341-X

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().