Modeling nonlinear oscillator networks using physics-informed hybrid reservoir computing
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DOI: 10.1038/s41598-025-03957-x
Abstract: Surrogate modeling of non-linear oscillator networks remains challenging due to discrepancies between simplified analytical models and real-world complexity. To bridge this gap, we investigate hybrid reservoir computing, combining reservoir computing with “expert” analytical models. Simulating… read more here.
Keywords: hybrid reservoir; oscillator networks; reservoir; reservoir computing ... See more keywords
Chaos in Kuramoto oscillator networks.
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DOI: 10.1063/1.5041444
Abstract: Kuramoto oscillators are widely used to explain collective phenomena in networks of coupled oscillatory units. We show that simple networks of two populations with a generic coupling scheme, where both coupling strengths and phase lags… read more here.
Keywords: networks chaos; oscillator networks; kuramoto oscillator; kuramoto ... See more keywords
Chimeras and solitary states in 3D oscillator networks with inertia.
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DOI: 10.1063/5.0005281
Abstract: We report the diversity of scroll wave chimeras in the three-dimensional (3D) Kuramoto model with inertia for N3 identical phase oscillators placed in a unit 3D cube with periodic boundary conditions. In the considered model… read more here.
Keywords: model inertia; oscillator networks; model; solitary states ... See more keywords
Anormal diffusion enhancement of resonant responses for coupled oscillator networks to weak signals.
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DOI: 10.1063/5.0006350
Abstract: The normal diffusion effect is introduced as a new regulating factor into the established diffusive coupling model for bistable oscillator networks. We find that the response of the system to the weak signal is substantially… read more here.
Keywords: diffusion; diffusion enhancement; oscillator networks; anormal diffusion ... See more keywords
Data-driven control of oscillator networks with population-level measurement.
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DOI: 10.1063/5.0191851
Abstract: Controlling complex networks of nonlinear limit-cycle oscillators is an important problem pertinent to various applications in engineering and natural sciences. While in recent years the control of oscillator populations with comprehensive biophysical models or simplified… read more here.
Keywords: population level; data driven; control oscillator; oscillator networks ... See more keywords
Explainable AI for analyzing the decision of GNNs at predicting dynamic stability of complex oscillator networks.
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DOI: 10.1063/5.0278469
Abstract: Understanding the synchronization of complex oscillator networks is a central question in complex systems research. Recent studies have shown that graph neural networks (GNNs) outperform a wide range of traditional network measures in predicting probabilistic… read more here.
Keywords: complex oscillator; stability; gnns; oscillator networks ... See more keywords
Collective Synchronization of Kuramoto-Oscillator Networks
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Circuits and Systems Magazine"
DOI: 10.1109/mcas.2020.3005485
Abstract: Synchronization as a typical collective phenomenon emerges in many complex systems, and has attracted world-wide attention from science, engineering, sociology, and so forth. With the fast rising and development of network science, the Kuramoto-oscillator model… read more here.
Keywords: oscillator networks; synchronization kuramoto; synchronization; kuramoto oscillator ... See more keywords