Results 11 to 20 of about 1,307 (176)

Chaos in Kuramoto oscillator networks [PDF]

open access: yesChaos: An Interdisciplinary Journal of Nonlinear Science, 2018
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 between and within populations are distinct, can exhibit chaotic dynamics as conjectured by Ott and Antonsen [Chaos 18,
Bick, C, Panaggio, M, Martens, E
openaire   +7 more sources

Synchronization of high‐dimensional Kuramoto models with nonidentical oscillators and interconnection digraphs

open access: yesIET Control Theory & Applications, 2022
This paper investigates some synchronization behaviors of high‐dimensional Kuramoto models with nonidentical oscillators and interconnection digrphs. By using the matrix Riccati differential equation of the state error variables, it is proved that a high‐
Jinxing Zhang, Jiandong Zhu
doaj   +1 more source

Behavior of circular chains of nonlinear oscillators with Kuramoto-like local coupling

open access: yesAIP Advances, 2023
The conditions under which synchronization is achieved for a one-dimensional ring of identical phase oscillators with Kuramoto-like local coupling are studied. The system is approached in the weakly coupled approximation as phase units. Instead of global
K. García Medina, E. Estevez-Rams
doaj   +1 more source

Optimal Experimental Design for Uncertain Systems Based on Coupled Differential Equations

open access: yesIEEE Access, 2021
We consider the optimal experimental design (OED) problem for an uncertain system described by coupled ordinary differential equations (ODEs), whose parameters are not completely known.
Youngjoon Hong   +2 more
doaj   +1 more source

Modeling the Evolution of Collective Synchrony. [PDF]

open access: yesAnn N Y Acad Sci
We model synchronized mating displays as a Kuramoto‐style evolutionary game with honest cooperators and phase‐shifted cheaters. Cheaters exploit group advertisement while remaining distinctive, but excessive deviation triggers policing. Our analysis shows stable coexistence with an upper bound on the fraction cheating, and predicts that only symmetric ...
Amichay G, Gong R, Abrams DM.
europepmc   +2 more sources

Multifunctional Fluidic Units for Emergent, Responsive Robotic Behaviors. [PDF]

open access: yesAdv Mater
A multifunctional reconfigurable fluidic unit can be used as sensor, valve and actuator is presented. A unique configuration combines the features of the three components as a Responsive self‐oscillating actuator. The remarkable versatility of the fluidic unit is demonstrated by building different robots with the same fluidic units only by varying ...
Mousa M   +3 more
europepmc   +2 more sources

PACEMAKERS IN A CAYLEY TREE OF KURAMOTO OSCILLATORS [PDF]

open access: yesInternational Journal of Bifurcation and Chaos, 2012
In this work, we study a system of Kuramoto oscillators with identical frequencies in a Cayley tree. Heterogeneity in the frequency distribution is introduced in the root of the tree, allowing for analytical calculations of the phase evolution.
Pablo M. Gleiser   +3 more
openaire   +3 more sources

On the trend to global equilibrium for Kuramoto oscillators

open access: yesAnnales de l'Institut Henri Poincaré C, Analyse non linéaire, 2022
In this paper we study convergence to the stable equilibrium for Kuramoto oscillators. Specifically, we derive estimates on the rate of convergence to the global equilibrium for solutions of the Kuramoto–Sakaguchi equation departing from generic initial data in a large coupling strength regime.
Morales, Javier, Poyato, David
openaire   +4 more sources

Spectrum of extensive multiclusters in the Kuramoto model with higher-order interactions

open access: yesPhysical Review Research, 2021
Globally coupled ensembles of phase oscillators serve as useful tools for modeling synchronization and collective behavior in a variety of applications.
Can Xu, Per Sebastian Skardal
doaj   +1 more source

Modeling Frequency Reduction in Human Groups Performing a Joint Oscillatory Task

open access: yesFrontiers in Psychology, 2022
In human groups performing oscillatory tasks, it has been observed that the frequency of participants' oscillations reduces when compared to that acquired in solo.
Carmela Calabrese   +4 more
doaj   +1 more source

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