Results 71 to 80 of about 1,307 (176)
Physical Review Research, 2020 We consider the inertial Kuramoto model of N globally coupled oscillators characterized by both their phase and angular velocity, in which there is a time delay in the interaction between the oscillators.
David Métivier +2 more
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Kuramoto-Like Synchronization Mediated through Faraday Surface Waves
Fluids, 2020 A new class of problems in free surface hydrodynamics appeared after the groundbreaking discovery by Yves Couder and Emmanuel Fort. A bouncing droplet in association with Faraday surface waves gives rise to new nonlinear dynamics, in analogy with the ...
André Nachbin
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Algebraic aspects of homogeneous Kuramoto oscillators
Mathematics of ComputationWe investigate algebraic characteristics of networks of coupled oscillators. Translating dynamics into a system of algebraic equations enables us to identify classes of network topologies that exhibit unexpected behaviors. Many previous studies focus on synchronization of networks having high connectivity, or of a specific type (e.g. circulant networks)
Harrington, H, Schenck, H, Stillman, M
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Phase‐Space Synchronization Driven by Moon‐Magnetosphere Coupling in Gas Giants
Journal of Geophysical Research: Space Physics, Volume 131, Issue 3, March 2026.Abstract We present a new theoretical framework to describe the rapid and spatially localized loss of energetic particles in planetary radiation belts, focusing on interactions between gas giant magnetospheres and their moons. Observations show that flux depletions—known as microsignatures—often refill on timescales comparable to a single drift period,
Adnane Osmane +2 more
wiley +1 more source
Mean field limits of co-evolutionary signed heterogeneous networks
European Journal of Applied MathematicsMany science phenomena are modelled as interacting particle systems (IPS) coupled on static networks. In reality, network connections are far more dynamic.
Marios Antonios Gkogkas +2 more
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Mode-locking in a network of kuramoto-like oscillators [PDF]
2015 International Joint Conference on Neural Networks (IJCNN), 2015 In this paper we consider a network of phase oscillators. We develop the equations that model the time evolution of the phase of each oscillator in the network. The oscillator represents a modified Kuramoto oscillator and in this study we discuss how these modifications are obtained.
Eugene Koskin +3 more
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Tracking Tool for Fiddler Crabs in Natural Settings to Promote a Model Organism for Synchrony
Annals of the New York Academy of Sciences, Volume 1557, Issue 1, March 2026.We introduce an easy‐to‐use and open source tracking algorithm that detects claw waves in field video recordings and preserves IDs over time to advance the widely found fiddler crabs as a model organism for collective synchronization. This software translates video observations into actionable data to advance the study of synchronization beyond theory.
Hiba Khatib +2 more
wiley +1 more source
A complex network perspective on brain disease
Biological Reviews, Volume 101, Issue 1, Page 364-399, February 2026.ABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
David Papo, Javier M. Buldú
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Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT We study asymptotic dynamics of Kuramoto oscillators with inertia and frustration using the classical perturbation theory of ordinary differential equation systems. Frustration also known as the phase‐lag poses challenges for the mathematical analysis of asymptotic dynamics due to the breakdown of total phase conservation and the gradient ...
Hangjun Cho +2 more
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