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Steady State Behavior of the Free Recall Dynamics of Working Memory
Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100190, Beijing, China; School of Mathematical Sciences, University of Chinese Academy of Sciences, 100190, Beijing, China.
Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100190, Beijing, China; School of Mathematical Sciences, University of Chinese Academy of Sciences, 100190, Beijing, China.
Academy for Engineering and Technology, Fudan University, 200433, Shanghai, China.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, Optimization and Systems Theory.ORCID iD: 0000-0003-0177-1993
2024 (English)In: Journal of Systems Science and Complexity, ISSN 1009-6124, E-ISSN 1559-7067, Vol. 37, no 6, p. 2424-2450Article in journal (Refereed) Published
Abstract [en]

This paper studies a dynamical system that models the free recall dynamics of working memory. This model is an attractor neural network with n modules, named hypercolumns, and each module consists of m minicolumns. Under mild conditions on the connection weights between minicolumns, the authors investigate the long-term evolution behavior of the model, namely the existence and stability of equilibria and limit cycles. The authors also give a critical value in which Hopf bifurcation happens. Finally, the authors give a sufficient condition under which this model has a globally asymptotically stable equilibrium consisting of synchronized minicolumn states in each hypercolumn, which implies that in this case recalling is impossible. Numerical simulations are provided to illustrate the proposed theoretical results. Furthermore, a numerical example the authors give suggests that patterns can be stored in not only equilibria and limit cycles, but also strange attractors (or chaos).

Place, publisher, year, edition, pages
Springer Nature , 2024. Vol. 37, no 6, p. 2424-2450
Keywords [en]
Asymptotic stability, bifurcation, free recall, strange attractor, working memory
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-356976DOI: 10.1007/s11424-024-3154-8ISI: 001360194700005Scopus ID: 2-s2.0-85209402568OAI: oai:DiVA.org:kth-356976DiVA, id: diva2:1916683
Note

QC 20241129

Available from: 2024-11-28 Created: 2024-11-28 Last updated: 2024-12-09Bibliographically approved

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Hu, Xiaoming

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