Preprint Article Version 1 This version is not peer-reviewed

Chaotic Itinerancy in an Associative Memory Model

Version 1 : Received: 31 January 2018 / Approved: 1 February 2018 / Online: 1 February 2018 (10:04:20 CET)

How to cite: Galatolo, S.; Monge, M.; Marangio, L.; Bioni Liberalquino, R. Chaotic Itinerancy in an Associative Memory Model. Preprints 2018, 2018020007 (doi: 10.20944/preprints201802.0007.v1). Galatolo, S.; Monge, M.; Marangio, L.; Bioni Liberalquino, R. Chaotic Itinerancy in an Associative Memory Model. Preprints 2018, 2018020007 (doi: 10.20944/preprints201802.0007.v1).

Abstract

We consider a random dynamical system arising in a model of associative memory. This system can be seen as a small (stochastic and deterministic) perturbation of a determinstic system having two weak attractors which are destroyed after the perturbation. We show, with a computer aided proof, that the system has a kind of chaotic itineracy. Typical orbits are globally chaotic, while they spend relatively long time visiting attractor's ruins.

Subject Areas

Chaotic itineracy; random dynamics; computer aided proof; neural networks

Readers' Comments and Ratings (0)

Leave a public comment
Send a private comment to the author(s)
Rate this article
Views 0
Downloads 0
Comments 0
Metrics 0
Leave a public comment

×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.