Consecutive and non-consecutive heteroclinic cycles in Hopfield networks

DOI10.1080/14689367.2016.1188889zbMath1371.34062OpenAlexW2519968925MaRDI QIDQ2970382

Pascal Chossat, Maciej Krupa

Publication date: 30 March 2017

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2016.1188889

zbMATH Keywords

Hopfield networkheteroclinic cycleslearning rulenetwork architecture

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

• Storing cycles in Hopfield-type networks with pseudoinverse learning rule: admissibility and network topology
• A Simple Neural Network Exhibiting Selective Activation of Neuronal Ensembles: From Winner-Take-All to Winners-Share-All
• Neural networks and physical systems with emergent collective computational abilities.

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