ArticleBiological cybernetics2021
Multifrequency Hebbian plasticity in coupled neural oscillators.
Article in Biological cybernetics, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.
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Who cites it
19 citing papers in PubMed.
- Embodied Responses to Harmony and (Poly)Rhythm: An Integrated Ratio-Based Perception-Action Framework.Annals of the New York Academy of Sciences · 2026Review
- Reply to 'Musical neurodynamics and the 'inner voice''.Nature reviews. Neuroscience · 2026Article
- The Emergence of a Universal Rhythmic Feature: Simple Models Can Produce Categorical Rhythms.Annals of the New York Academy of Sciences · 2026Article
- Neural representation of the musical beat is facilitated but not contingent on the repetition of rhythmic patterns.Scientific reports · 2025Article
- 4/4 and more, rhythmic complexity more strongly predicts groove in common meters.Communications psychology · 2025Article
- Neural encoding of auditory rhythm beyond cortical auditory areas before the age of term.iScience · 2025Article
- Revealing rhythm categorization in human brain activity.Science advances · 2025Article
- Musical neurodynamics.Nature reviews. Neuroscience · 2025Review
- Auditory Rhythm Encoding during the Last Trimester of Human Gestation: From Tracking the Basic Beat to Tracking Hierarchical Nested Temporal Structures.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2025Article
- Dynamical mechanisms of how an RNN keeps a beat, uncovered with a low-dimensional reduced model.Scientific reports · 2024Article
- Neural dynamics of predictive timing and motor engagement in music listening.Science advances · 2024Article
- Why art? The role of arts in arts and health.Frontiers in psychology · 2023Article
- Dynamic models for musical rhythm perception and coordination.Frontiers in computational neuroscience · 2023Review
- Neural Entrainment to Musical Pulse in Naturalistic Music Is Preserved in Aging: Implications for Music-Based Interventions.Brain sciences · 2022Article
- Modeling enculturated bias in entrainment to rhythmic patterns.PLoS computational biology · 2022Article
- A Dynamical, Radically Embodied, and Ecological Theory of Rhythm Development.Frontiers in psychology · 2022Review
- Modeling the tonotopic map using a two-dimensional array of neural oscillators.Frontiers in computational neuroscience · 2022Article
- Mapping between sound, brain and behaviour: four-level framework for understanding rhythm processing in humans and non-human primates.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2021Review
- A Complex-Valued Oscillatory Neural Network for Storage and Retrieval of Multidimensional Aperiodic Signals.Frontiers in computational neuroscience · 2021Article
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Authors and funding
2 authors.
Funding
Abstract
We study multifrequency Hebbian plasticity by analyzing phenomenological models of weakly connected neural networks. We start with an analysis of a model for single-frequency networks previously shown to learn and memorize phase differences between component oscillators. We then study a model for gradient frequency neural networks (GrFNNs) which extends the single-frequency model by introducing frequency detuning and nonlinear coupling terms for multifrequency interactions. Our analysis focuses on models of two coupled oscillators and examines the dynamics of steady-state behaviors in multiple parameter regimes available to the models. We find that the model for two distinct frequencies shares essential dynamical properties with the single-frequency model and that Hebbian learning results in stronger connections for simple frequency ratios than for complex ratios. We then compare the analysis of the two-frequency model with numerical simulations of the GrFNN model and show that Hebbian plasticity in the latter is locally dominated by a nonlinear resonance captured by the two-frequency model.
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