ArticlePhysical review. E2017
Globally attracting synchrony in a network of oscillators with all-to-all inhibitory pulse coupling.
Article in Physical review. E, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- A mean field theory for pulse-coupled neural oscillators based on the spike time response curve.Journal of neurophysiology · 2025Article
- Existence and stability criteria for global synchrony and for synchrony in two alternating clusters of pulse-coupled oscillators updated to include conduction delays.Mathematical biosciences · 2024Article
- Optimal synchronization in pulse-coupled oscillator networks using reinforcement learning.PNAS nexus · 2023Article
- Local inhibition in a model of the indirect pathway globus pallidus network slows and deregularizes background firing, but sharpens and synchronizes responses to striatal input.Journal of computational neuroscience · 2022Article
- Phase response theory explains cluster formation in sparsely but strongly connected inhibitory neural networks and effects of jitter due to sparse connectivity.Journal of neurophysiology · 2019Article
Corrections and comments
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Authors and funding
2 authors.
Funding
Abstract
The synchronization tendencies of networks of oscillators have been studied intensely. We assume a network of all-to-all pulse-coupled oscillators in which the effect of a pulse is independent of the number of oscillators that simultaneously emit a pulse and the normalized delay (the phase resetting) is a monotonically increasing function of oscillator phase with the slope everywhere less than 1 and a value greater than 2φ-1, where φ is the normalized phase. Order switching cannot occur; the only possible solutions are globally attracting synchrony and cluster solutions with a fixed firing order. For small conduction delays, we prove the former stable and all other possible attractors nonexistent due to the destabilizing discontinuity of the phase resetting at a phase of 0.
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Registered trials
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