<p>Left panels: current vs time of the electrodes. Right panels: coupling topology and schematic of synchronization patterns. a: (3–3) two-cluster state in which the synchronized center (2–4) oscillators (black) are in anti-phase configuration to the periphery (1,5,6) oscillators (red). <i>V</i>=1290 mV, <i>R</i><sub>ind</sub>= 1200 Ω, <i>R</i>= 1500 Ω. b: (2,4) two-cluster states in anti-phase synchronization. <i>V</i>=1300 mV, <i>R</i><sub>ind</sub>=1200 Ω, <i>R</i>= 1000 Ω. c: (10–10) condensed two-cluster cluster state with the NLR network. Oscillators in one half of the circle (red) are anti-phase synchronized with oscillators in the other half (black). <i>V</i>=1335 mV, <i>R</i><sub>ind</sub>=1200 Ω, <i>R</i>=5000 Ω. d: (10–10) two-c...
<p>(A, B) In- and (C, D) anti- phase synchronized clusters, at frequency (A, C) Ω < <i>μ</i> and (B,...
We use geometric dynamical systems methods to derive phase equations for networks of weakly connecte...
<p>We measured the synchronization index (SI) of the modeled population in the coupled (days 1–6), T...
<p>Left panel: Current time series of the electrodes: the core oscillators (2–4) are phase locked wh...
<p>a: Coupling topology of the NLR network. (Each oscillator is coupled to 14 nearest neighbors.) b:...
<p>a: Current time series of two chaotic oscillators without any coupling. <i>V</i>=1295 mV, <i>R</i...
We investigate cluster synchronization in experiments with a multilayer network of electronic Colpit...
We investigate cluster synchronization in experiments with a multilayer network of electronic Colpit...
In this thesis we study aspects of periodic activity in model mutually-coupled oscillators inspired ...
<p>For all panels, the x-axis represents the number of cross-network gap junctions between GN and SN...
The analysis of the interplay between structural and functional networks require experiments where b...
We investigate the effect of coupling delays on the synchronization properties of several network mo...
In this dissertation we analyze networks of coupled phase oscillators. We consider systems where lon...
There is a significant amount of computational literature on networks of neurons and their resulting...
The synchronization phenomenon is ubiquitous in nature. In ensembles ofcoupled oscillators, explosiv...
<p>(A, B) In- and (C, D) anti- phase synchronized clusters, at frequency (A, C) Ω < <i>μ</i> and (B,...
We use geometric dynamical systems methods to derive phase equations for networks of weakly connecte...
<p>We measured the synchronization index (SI) of the modeled population in the coupled (days 1–6), T...
<p>Left panel: Current time series of the electrodes: the core oscillators (2–4) are phase locked wh...
<p>a: Coupling topology of the NLR network. (Each oscillator is coupled to 14 nearest neighbors.) b:...
<p>a: Current time series of two chaotic oscillators without any coupling. <i>V</i>=1295 mV, <i>R</i...
We investigate cluster synchronization in experiments with a multilayer network of electronic Colpit...
We investigate cluster synchronization in experiments with a multilayer network of electronic Colpit...
In this thesis we study aspects of periodic activity in model mutually-coupled oscillators inspired ...
<p>For all panels, the x-axis represents the number of cross-network gap junctions between GN and SN...
The analysis of the interplay between structural and functional networks require experiments where b...
We investigate the effect of coupling delays on the synchronization properties of several network mo...
In this dissertation we analyze networks of coupled phase oscillators. We consider systems where lon...
There is a significant amount of computational literature on networks of neurons and their resulting...
The synchronization phenomenon is ubiquitous in nature. In ensembles ofcoupled oscillators, explosiv...
<p>(A, B) In- and (C, D) anti- phase synchronized clusters, at frequency (A, C) Ω < <i>μ</i> and (B,...
We use geometric dynamical systems methods to derive phase equations for networks of weakly connecte...
<p>We measured the synchronization index (SI) of the modeled population in the coupled (days 1–6), T...