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Critical phenomena in complex networks
The combination of the compactness of networks, featuring small diameters, and their
complex architectures results in a variety of critical effects dramatically different from those in …
complex architectures results in a variety of critical effects dramatically different from those in …
Graph theory and networks in biology
A survey of the use of graph theoretical techniques in Biology is presented. In particular,
recent work on identifying and modelling the structure of bio-molecular networks is …
recent work on identifying and modelling the structure of bio-molecular networks is …
Spatiotemporal order out of noise
Natural systems are undeniably subject to random fluctuations, arising from either
environmental variability or thermal effects. The consideration of those fluctuations supposes …
environmental variability or thermal effects. The consideration of those fluctuations supposes …
Entanglement tongue and quantum synchronization of disordered oscillators
We study the synchronization of dissipatively coupled van der Pol oscillators in the quantum
limit, when each oscillator is near its quantum ground state. Two quantum oscillators with …
limit, when each oscillator is near its quantum ground state. Two quantum oscillators with …
Activity induced synchronization: Mutual flocking and chiral self-sorting
Synchronization, the temporal coordination of coupled oscillators, allows fireflies to flash in
unison, neurons to fire collectively, and human crowds to fall in step on the London …
unison, neurons to fire collectively, and human crowds to fall in step on the London …
Synchronization in network geometries with finite spectral dimension
Recently there is a surge of interest in network geometry and topology. Here we show that
the spectral dimension plays a fundamental role in establishing a clear relation between the …
the spectral dimension plays a fundamental role in establishing a clear relation between the …
Collective steady-state patterns of swarmalators with finite-cutoff interaction distance
We study the steady-state patterns of population of the coupled oscillators that sync and
swarm, where the interaction distances among the oscillators have a finite-cutoff in the …
swarm, where the interaction distances among the oscillators have a finite-cutoff in the …
Complex network geometry and frustrated synchronization
The dynamics of networks of neuronal cultures has been recently shown to be strongly
dependent on the network geometry and in particular on their dimensionality. However, this …
dependent on the network geometry and in particular on their dimensionality. However, this …
Critical synchronization dynamics of the Kuramoto model on connectome and small world graphs
The hypothesis, that cortical dynamics operates near criticality also suggests, that it exhibits
universal critical exponents which marks the Kuramoto equation, a fundamental model for …
universal critical exponents which marks the Kuramoto equation, a fundamental model for …
Entrainment transition in populations of random frequency oscillators
The entrainment transition of coupled random frequency oscillators is revisited. The
Kuramoto model (global coupling) is shown to exhibit unusual sample-dependent finite-size …
Kuramoto model (global coupling) is shown to exhibit unusual sample-dependent finite-size …