Results 1 to 10 of about 1,307 (176)
On the Critical Coupling for Kuramoto Oscillators [PDF]
SIAM Journal on Applied Dynamical Systems, 2011 The Kuramoto model captures various synchronization phenomena in biological and man-made systems of coupled oscillators. It is well-known that there exists a critical coupling strength among the oscillators at which a phase transition from incoherency to synchronization occurs. This paper features four contributions.
Francesco Bullo, Florian Dörfler
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AEJ - Alexandria Engineering Journal, 2020 This work deals with the synchronization of fractional order Kuramoto oscillator. The main idea is to prove that, using fractional derivatives we can get synchronization in a Kuramoto system when the critical gain value is under the computed value.
J F Gómez-Aguilar, Lizeth Torres
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Hippocampal phase precession may be generated by chimera dynamics [PDF]
Frontiers in Neural CircuitsThe 8 Hz theta rhythm observed in hippocampal local field potentials of animals can be regarded as a “clock” that regulates the timing of spikes. While different interneuron sub-types synchronously phase lock to different phases for every theta cycle ...
Maria Masoliver +7 more
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Unveiling synchronization transitions in networks of coupled oscillators through persistent homology of local structures [PDF]
Scientific ReportsSynchronization phenomenon characterize the collective behavior of complex systems. In recent years, data-driven approaches have become relevant because they can identify and quantify synchronized activity.
Álvaro Zabaleta-Ortega +2 more
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Metastability induced by non-reciprocal adaptive couplings in Kuramoto models [PDF]
Frontiers in Network PhysiologyNon-reciprocal couplings are frequently found in systems out-of-equilibrium such as neuronal networks. Via bifurcation analysis and numerical integration we consider generalized Kuramoto models with non-reciprocal adaptive couplings.
Sayantan Nag Chowdhury +2 more
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Dynamic Synchronization and Resonance as the Origin of 1/f Fluctuations—Amplitude Modulation Across Music and Nature [PDF]
EntropyIn natural systems, astrophysics, biological physics, and social physics, 1/f fluctuations are observed across a wide range of systems. Focusing on the case of music, we propose and verify a physical mechanism for generating these fluctuations.
Akika Nakamichi +2 more
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Extreme synchronization transitions [PDF]
Nature CommunicationsAcross natural and human-made systems, transition points mark sudden changes of order and are thus key to understanding overarching system features. Motivated by recent experimental observations, we here uncover an intriguing class of transitions in ...
Seungjae Lee +2 more
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New forms of structure in ecosystems revealed with the Kuramoto model [PDF]
Royal Society Open Science, 2021 Ecological systems, as is often noted, are complex. Equally notable is the generalization that complex systems tend to be oscillatory, whether Huygens' simple patterns of pendulum entrainment or the twisted chaotic orbits of Lorenz’ convection rolls. The
John Vandermeer +3 more
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Mutual Synchronization of Antiferromagnetic Spintronic Oscillators
Известия высших учебных заведений России: Радиоэлектроника, 2022 Introduction. Recent studies into the properties of spintronic oscillators have led to broadening their scope of practical application as devices for generating and processing signals.
A. Yu. Mitrofanova +3 more
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Synchronization of Kuramoto oscillators in dense networks [PDF]
Nonlinearity, 2020 Abstract We study synchronization properties of systems of Kuramoto oscillators. The problem can also be understood as a question about the properties of an energy landscape created by a graph. More formally, let G = ( V ,
Jianfeng Lu, Stefan Steinerberger
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