Chaotic itinerancy in random dynamical system related to associative memory models (Q1649107)
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scientific article; zbMATH DE number 6898731
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| English | Chaotic itinerancy in random dynamical system related to associative memory models |
scientific article; zbMATH DE number 6898731 |
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Chaotic itinerancy in random dynamical system related to associative memory models (English)
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5 July 2018
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Summary: We consider a random dynamical system arising as a model of the behavior of a macrovariable related to a more complicated 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 a relatively long time visiting the attractor's ruins.
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chaotic itineracy
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computer-aided proof
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neural network
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