Slow-fast Dynamics of Strongly Coupled Adaptive Frequency Oscillators

DOI10.1137/20M1357755zbMath1492.34037arXiv2108.07423OpenAlexW3207098129MaRDI QIDQ5860633

Jonas Buchli, Ludovic Righetti, Auke Jan Ijspeert

Publication date: 22 November 2021

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

Full work available at URL: https://arxiv.org/abs/2108.07423

zbMATH Keywords

synchronizationoscillatorsslow-fast dynamicsfrequency adaptation

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Synchronization of solutions to ordinary differential equations (34D06)

Uses Software

• GitHub

Cites Work

• Unnamed Item
• Frequency analysis with coupled nonlinear oscillators
• Geometric singular perturbation theory for ordinary differential equations
• Oscillatory model of attention-guided object selection and novelty detection
• On fast-slow consensus networks with a dynamic weight
• Dynamic Hebbian learning in adaptive frequency oscillators
• An adaptive model for synchrony in the firefly Pteroptyx malaccae
• Learning model for coupled neural oscillators
• On the VLSI Implementation of Adaptive-Frequency Hopf Oscillator
• Networks of Self-Adaptive Dynamical Systems

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