Synchronization of heteroclinic circuits through learning in coupled neural networks

DOI10.1134/S1560354716010056zbMath1339.34081OpenAlexW2270201438MaRDI QIDQ283034

Anton Selskii, Valeri A. Makarov

Publication date: 13 May 2016

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354716010056

zbMATH Keywords

neural networkslearningsynchronizationheteroclinic circuitwinner-less competition

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Asymptotic theory of functional-differential equations (34K25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Memory and learning in psychology (91E40) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Biological rhythms and synchronization (92B25)

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Cites Work

• Elements for a general memory structure: properties of recurrent neural networks used to form situation models
• Attractors for robust heteroclinic cycles with continua of connections
• Heteroclinic networks in coupled cell systems
• Discrete computation using a perturbed heteroclinic network
• Hierarchical Heteroclinics in Dynamical Model of Cognitive Processes: Chunking
• Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
• HETEROCLINIC CONTOURS IN NEURAL ENSEMBLES AND THE WINNERLESS COMPETITION PRINCIPLE
• Winnerless competition between sensory neurons generates chaos: A possible mechanism for molluscan hunting behavior

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