A variety of globally stable periodic orbits in permutation binary neural networks

DOI10.3934/dcdsb.2023078zbMath1521.37023arXiv2301.02801OpenAlexW4367164204MaRDI QIDQ6156579

Mikito Onuki, Toshimichi Saito, Kento Saka

Publication date: 13 June 2023

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.02801

zbMATH Keywords

stabilitypermutationrecurrent neural networksbinary neural networksbinary periodic orbits

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Stability theory for smooth dynamical systems (37C75)

Cites Work

• Associative dynamics in a chaotic neural network.
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• A simple digital spiking neural network: synchronization and spike-train approximation
• Permutation binary neural networks: analysis of periodic orbits and its applications
• Design of CAECC - cellular automata based error correcting code
• Chaos in Dynamical Systems
• Neural networks and physical systems with emergent collective computational abilities.

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