Synchronization and Stability for Quantum Kuramoto
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-018-2168-9
Abstract: We present and analyze a nonabelian version of the Kuramoto system, which we call the Quantum Kuramoto system. We study the stability of several classes of special solutions to this system, and show that for… read more here.
Keywords: quantum kuramoto; kuramoto; synchronization stability; system ... See more keywords
Chaos in Kuramoto oscillator networks.
Sign Up to like & getrecommendations! Published in 2018 at "Chaos"
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
A graphical approach to estimate the critical coupling strength for Kuramoto networks.
Sign Up to like & getrecommendations! Published in 2019 at "Chaos"
DOI: 10.1063/1.5084063
Abstract: The Kuramoto model is an archetypal model for studying synchronization in groups of nonidentical oscillators. Each oscillator is imbued with its own personal inherent driving frequency and experiences attractive coupling forces toward all the other… read more here.
Keywords: critical coupling; coupling; approach; kuramoto ... See more keywords
Dynamical equivalence between Kuramoto models with first- and higher-order coupling.
Sign Up to like & getrecommendations! Published in 2019 at "Chaos"
DOI: 10.1063/1.5118941
Abstract: The Kuramoto model with high-order coupling has recently attracted some attention in the field of coupled oscillators in order, for instance, to describe clustering phenomena in sets of coupled agents. Instead of considering interactions given… read more here.
Keywords: order; kuramoto model; higher order; order coupling ... See more keywords
Matrix coupling and generalized frustration in Kuramoto oscillators.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0108672
Abstract: The Kuramoto model describes the synchronization of coupled oscillators that have different natural frequencies. Among the many generalizations of the original model, Kuramoto and Sakaguchi (KS) proposed a frustrated version that resulted in dynamic behavior… read more here.
Keywords: kuramoto; matrix coupling; model; order parameter ... See more keywords
Improved numerical scheme for the generalized Kuramoto model
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/accce4
Abstract: We present an improved and more accurate numerical scheme for a generalization of the Kuramoto model of coupled phase oscillators to the three-dimensional space. The present numerical scheme relies crucially on our observation that the… read more here.
Keywords: kuramoto; kuramoto model; numerical scheme; scheme ... See more keywords
Kuramoto model subject to subsystem resetting: How resetting a part of the system may synchronize the whole of it.
Sign Up to like & getrecommendations! Published in 2024 at "Physical review. E"
DOI: 10.1103/physreve.109.064137
Abstract: We introduce and investigate the effects of a new class of stochastic resetting protocol called subsystem resetting, whereby a subset of the system constituents in a many-body interacting system undergoes bare evolution interspersed with simultaneous… read more here.
Keywords: subsystem resetting; system; time; state ... See more keywords
Stochastic Kuramoto oscillators with discrete phase states.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.032201
Abstract: We present a generalization of the Kuramoto phase oscillator model in which phases advance in discrete phase increments through Poisson processes, rendering both intrinsic oscillations and coupling inherently stochastic. We study the effects of phase… read more here.
Keywords: phase; oscillators discrete; discrete phase; kuramoto oscillators ... See more keywords
Cyclops States in Repulsive Kuramoto Networks: The Role of Higher-Order Coupling.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.130.107201
Abstract: Repulsive oscillator networks can exhibit multiple cooperative rhythms, including chimera and cluster splay states. Yet, understanding which rhythm prevails remains challenging. Here, we address this fundamental question in the context of Kuramoto-Sakaguchi networks of rotators… read more here.
Keywords: order coupling; kuramoto; cyclops states; higher order ... See more keywords
Prescribed-Time Synchronization of Kuramoto Oscillators Over Undirected Network
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Transactions on Circuits and Systems II: Express Briefs"
DOI: 10.1109/tcsii.2024.3353341
Abstract: The prescribed-time synchronization of both homogeneous and heterogeneous Kuramoto-oscillator network are studied respectively in this brief. Two distributed control schemes based on a scaling function are designed to solve the phase and frequency synchronization of… read more here.
Keywords: time synchronization; time; synchronization; prescribed time ... See more keywords
Synchronization in Kuramoto Oscillator Networks With Sampled-Data Updating Law
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Cybernetics"
DOI: 10.1109/tcyb.2019.2940987
Abstract: In this article, we are concerned with the synchronization problem of Kuramoto oscillators under the sampled-data updating law. This article is motivated by the needs of synchronization of Kuramoto oscillators in the presence of periodic… read more here.
Keywords: sampled data; kuramoto; synchronization; updating law ... See more keywords