Liberalquino, R.B.; Monge, M.; Galatolo, S.; Marangio, L. Chaotic Itinerancy in Random Dynamical System Related to Associative Memory Models. Mathematics2018, 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.
Liberalquino, R.B.; Monge, M.; Galatolo, S.; Marangio, L. Chaotic Itinerancy in Random Dynamical System Related to Associative Memory Models. Mathematics2018, 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.
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.
Keywords
Chaotic itineracy; random dynamics; computer aided proof; neural networks
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
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