Stability in a Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve

DOI10.1137/19M1269397zbMath1454.34083OpenAlexW3023638543MaRDI QIDQ5109379

Xiaoxue Zhao, Zhuchun Li, Xiao-Ping Xue

Publication date: 11 May 2020

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1269397

zbMATH Keywords

stabilityKuramoto oscillatorsHebbian rulebinary pattern retrievesecond-order Fourier term

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (2)

Exponential synchronization for nonidentical high-dimensional Kuramoto model ⋮ Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve: II. Nonorthogonal Standard Patterns and Structural Stability

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