---
title: "Chaotic Dynamics of High Order Neural Networks • CBPF Index"
description: "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community."
canonical_url: "https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb5b4"
locale: en
meta:
  "og:description": "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community."
  "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Chaotic%2BDynamics%2Bof%2BHigh%2BOrder%2BNeural%2BNetworks%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~TmV5IExlbWtlOyBKZWZlcnNvbiBKLiBBcmVuem9uOyBGLiBBLiBUYW1hcml0aQ%2Cdetalhe_1994%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI1YjQi%2Cs_mc57bJ3D7rkVdi7f.png"
  "og:image:height": "600"
  "og:image:type": image/png
  "og:image:width": "1200"
  "og:title": "Chaotic Dynamics of High Order Neural Networks • CBPF Index"
  "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Chaotic%2BDynamics%2Bof%2BHigh%2BOrder%2BNeural%2BNetworks%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~TmV5IExlbWtlOyBKZWZlcnNvbiBKLiBBcmVuem9uOyBGLiBBLiBUYW1hcml0aQ%2Cdetalhe_1994%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI1YjQi%2Cs_mc57bJ3D7rkVdi7f.png"
---

> Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt)

**Physics Note****Published**

# **Chaotic Dynamics of High Order Neural Networks**

**Ney Lemke; Jeferson J. Arenzon; F. A. Tamariti**

1994

[**Download PDF **0.6 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb5b4/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=Chaotic%20Dynamics%20of%20High%20Order%20Neural%20Networks)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>Ney Lemke; Jeferson J. Arenzon; F. A. Tamariti</dd>

<dt>Type</dt>
<dd>Physics Note</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>1994</dd>

<dt>Description</dt>
<dd>The dynamics of an extremely diluted neural network with high order synapses acting as corrections to the Hopfield model is investigated. As in the fully connected case, the high order terms may strongly improve the storage capacity of the system. The dynamics displays a very rich behavior, and in particular a new chaotic phase emerges depending on the weight of the high order connections &lt;math&gt;\varepsilon\,\!&lt;/math&gt;, the noise level T and the network load defined as the rate between the number of stored patterns any the mean connectivity per neuron &lt;math&gt;\alpha\,\!&lt;/math&gt; = P/C.</dd>

<dt>Year</dt>
<dd>1994</dd>

<dt>Number</dt>
<dd>CBPF-NF-005/94</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

```json
{"@context":"https://schema.org","@graph":[{"@id":"https://index.cbpf.br/en#website","@type":"WebSite","description":"O CBPF INDEX é o sistema de acompanhamento da produção científica e tecnológica do CBPF. Nele é possível obter a lista de publicações de artigos, livros, relatórios técnicos, etc de toda a comunidade do CBPF.","inLanguage":"en-US","name":"CBPF Index","url":"https://index.cbpf.br/en","publisher":{"@id":"https://index.cbpf.br/#identity"},"translationOfWork":{"@id":"https://index.cbpf.br/#website"}},{"@id":"https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb5b4#webpage","@type":"WebPage","description":"CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community.","name":"Chaotic Dynamics of High Order Neural Networks","url":"https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb5b4","isPartOf":{"@id":"https://index.cbpf.br/en#website"},"potentialAction":[{"@type":"ReadAction","target":["https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb5b4"]}],"primaryImageOfPage":{"@id":"https://index.cbpf.br/#logo"}},{"@id":"https://index.cbpf.br/#identity","@type":"Organization","alternateName":"CBPF","description":"Unidade de pesquisa do Ministério da Ciência, Tecnologia e Inovação dedicada à pesquisa básica em Física, suas aplicações e à formação científica.","email":"web@cbpf.br","legalName":"Centro Brasileiro de Pesquisas Físicas/CBPF","name":"Centro Brasileiro de Pesquisas Físicas","taxID":"04.044.443/0001-35","telephone":"+55-21-2141-7100","url":"https://cbpf.br","address":{"@type":"PostalAddress","streetAddress":"Rua Dr. Xavier Sigaud, 150","addressLocality":"Rio de Janeiro","addressRegion":"RJ","postalCode":"22290-180","addressCountry":"BR"},"logo":{"@id":"https://index.cbpf.br/#logo"},"sameAs":["https://twitter.com/cbpf_mcti"]},{"@id":"https://index.cbpf.br/#logo","@type":"ImageObject","caption":"Centro Brasileiro de Pesquisas Físicas","contentUrl":"https://index.cbpf.br/icon-512x512-light.png","inLanguage":"en-US","url":"https://index.cbpf.br/icon-512x512-light.png"}]}
```

## Sitemap

See the full [sitemap](https://index.cbpf.br/sitemap.md) for all pages.