Stability and Long Term Behavior of a Hebbian Network of Kuramoto Oscillators

DOI10.1137/140965168zbMath1418.34082OpenAlexW2068457690MaRDI QIDQ5250026

Katharina Krischer, Robert W. Hölzel

Publication date: 15 May 2015

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

Full work available at URL: https://semanticscholar.org/paper/2401dcbb5a710fe4b06768074945480f3a213b3f

zbMATH Keywords

neural networkassociative memoryKuramoto oscillatorsoscillatory networkhebb rule

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (5)

Fast and slow velocity alignments in a Cucker-Smale ensemble with adaptive couplings ⋮ Stability in a Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve ⋮ Swarms on the 3-sphere with adaptive synapses: Hebbian and anti-Hebbian learning rule ⋮ The stability of fixed points for a Kuramoto model with Hebbian interactions ⋮ Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve: II. Nonorthogonal Standard Patterns and Structural Stability

Cites Work

• Pattern recognition minimizes entropy production in a neural network of electrical oscillators
• Oscillatory associative memory network with perfect retrieval
• On the short-time dynamics of networks of Hebbian coupled oscillators
• Retrieval dynamics of neural networks for sparsely coded sequential patterns
• Temporal association in a network of neuronal oscillators
• Oscillator neural network model with distributed native frequencies
• Pattern recognition with simple oscillating circuits
• Neural networks and physical systems with emergent collective computational abilities.
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