Chaotic synchronization in adaptive networks of pulse-coupled oscillators

German Mato; Antonio Politi; Alessandro Torcini

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arXiv · 2407.08453

Chaotic synchronization in adaptive networks of pulse-coupled oscillators

German Mato·Antonio Politi·Alessandro Torcini

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Abstract

Ensembles of phase-oscillators are known to exhibit a variety of collective regimes. Here, we show that a simple mean-field model involving two heterogenous populations of pulse-coupled oscillators, exhibits, in the strong-coupling limit, a robust irregular macroscopic dynamics. The resulting, strongly synchronized, regime is sustained by a homeostatic mechanism induced by the shape of the phase-response curve combined with adaptive coupling strength, included to account for energy dissipated by the pulse emission. The proposed setup mimicks a neural network composed of excitatory and inhibitory neurons.

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German Mato, Antonio Politi, Alessandro Torcini. 2024-07-11. Chaotic synchronization in adaptive networks of pulse-coupled oscillators. https://arxiv.org/abs/2407.08453

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