<p>Left panel: for each couple (<i>M</i>, <i>γ</i>/4) ∈ [5, 50] × [2, 10] we numerically simulate the controlled system <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1006296#pcbi.1006296.e026" target="_blank">(12)</a> involving <i>N</i> = 100 oscillators interconnected using an all-to-all topology, with coupling parameter <i>K</i> = 0.5 and frequencies <i>ω</i><sub><i>i</i></sub> drawn from a normal distribution . Each point is the average over 50 independent realisations (different initial conditions but same frequencies). Right panel: a different visualisation of 〈<i>R</i>〉 allowing to emphasise the relation <i>γ</i><sub><i>r</i></sub>(<i>M</i>), <i>r</i> = 0.8 (dashed curve), <i>r</i> = 0.4 (dotted curve) and...
The synchronization of an ensemble of oscillators is a phenomenon present in systems of different fi...
Abstract. The celebrated Kuramoto model captures various synchronization phenomena in biological and...
<p>The figure shows the evolution of the Kuramoto order parameter and the fraction of synchronized ...
The synchronization in large populations of interacting oscillators has been observed abundantly in ...
<p><b>A</b>: For below a critical value (red, dotted line) the signal is irregular and the order ...
<p><i>N</i> = 100 oscillators (circles) are drawn on the unitary circle, their angular position is g...
a) Kuramoto oscillators are spatially arranged in a hexagonal grid and are sparsely connected to eac...
<p>When the coupling strength has critical value , the system is metastable and demonstrates the gre...
<p>We represent the order parameter <i>R</i> (blue curve for the KM model and red curve for the cont...
<p>Time series for global order parameter, , for various networks of coupled Kuramoto oscillators. E...
<p><b>A</b>: Illustration of cycles with increasing number of nodes. <b>B</b>: A plot of analytical ...
Synchronization of coupled simple harmonic oscillators is a well-studied problem in advanced undergr...
<p>Time series of global order parameter, , for increasingly perturbed hierarchical network of Kuram...
The Kuramoto model describes the synchronization of coupled oscillators that have different natural ...
We numerically investigate the role of inertia in the synchronization of globally coupled oscillator...
The synchronization of an ensemble of oscillators is a phenomenon present in systems of different fi...
Abstract. The celebrated Kuramoto model captures various synchronization phenomena in biological and...
<p>The figure shows the evolution of the Kuramoto order parameter and the fraction of synchronized ...
The synchronization in large populations of interacting oscillators has been observed abundantly in ...
<p><b>A</b>: For below a critical value (red, dotted line) the signal is irregular and the order ...
<p><i>N</i> = 100 oscillators (circles) are drawn on the unitary circle, their angular position is g...
a) Kuramoto oscillators are spatially arranged in a hexagonal grid and are sparsely connected to eac...
<p>When the coupling strength has critical value , the system is metastable and demonstrates the gre...
<p>We represent the order parameter <i>R</i> (blue curve for the KM model and red curve for the cont...
<p>Time series for global order parameter, , for various networks of coupled Kuramoto oscillators. E...
<p><b>A</b>: Illustration of cycles with increasing number of nodes. <b>B</b>: A plot of analytical ...
Synchronization of coupled simple harmonic oscillators is a well-studied problem in advanced undergr...
<p>Time series of global order parameter, , for increasingly perturbed hierarchical network of Kuram...
The Kuramoto model describes the synchronization of coupled oscillators that have different natural ...
We numerically investigate the role of inertia in the synchronization of globally coupled oscillator...
The synchronization of an ensemble of oscillators is a phenomenon present in systems of different fi...
Abstract. The celebrated Kuramoto model captures various synchronization phenomena in biological and...
<p>The figure shows the evolution of the Kuramoto order parameter and the fraction of synchronized ...