Preprint Article Version 1 This version is not peer-reviewed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)

A peer-reviewed article of this Preprint also exists.

Liberalquino, R.B.; Monge, M.; Galatolo, S.; Marangio, L. Chaotic Itinerancy in Random Dynamical System Related to Associative Memory Models. Mathematics 2018, 6, 39. Liberalquino, R.B.; Monge, M.; Galatolo, S.; Marangio, L. Chaotic Itinerancy in Random Dynamical System Related to Associative Memory Models. Mathematics 2018, 6, 39.

Journal reference: Mathematics 2018, 6, 39
DOI: 10.3390/math6030039

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

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