57 research outputs found
Identifiability of complex networks
We discuss the core principles underpinning the concept of identifiability, providing an overview of relevant literature concerning this phenomenon within the domain of complex networks. We delve into the potentialities and inherent constraints associated with the analysis of identifiability in real networked systems. Through this exploration, we establish a comprehensive classification scheme for network identifiability, distinguishing i) structural, ii) functional, and iii) meta-identifiability categories. We explain the principal conceptual distinctions characterising each category. Finally, we deliberate upon the contextual frameworks where system identifiability can be achieved, also highlighting the factors that impede structural, functional, and meta-identifiability
Synchronization of interconnected networks: the role of connector nodes
In this Letter we identify the general rules that determine the
synchronization properties of interconnected networks. We study analytically,
numerically and experimentally how the degree of the nodes through which two
networks are connected influences the ability of the whole system to
synchronize. We show that connecting the high-degree (low-degree) nodes of each
network turns out to be the most (least) effective strategy to achieve
synchronization. We find the functional relation between synchronizability and
size for a given network-of-networks, and report the existence of the optimal
connector link weights for the different interconnection strategies. Finally,
we perform an electronic experiment with two coupled star networks and conclude
that the analytical results are indeed valid in the presence of noise and
parameter mismatches.Comment: Accepted for publication in Physical Review Letters. Main text: 5
pages, 4 figures. Supplemental material: 8 pages, 3 figure
Dynamics of modal power distribution in a multimode semiconductor laser with optical feedback
The dynamics of power distribution between longitudinal modes of a multimode
semiconductor laser subjected to external optical feedback is experimentally
analyzed in the low-frequency fluctuation regime. Power dropouts in the total
light intensity are invariably accompanied by sudden activations of several
longitudinal modes. These activations are seen not to be simultaneous to the
dropouts, but to occur after them. The phenomenon is statistically analysed in
a systematic way, and the corresponding delay is estimated.Comment: 3 pages, 4 figures, revte
Using network science to analyze football passing networks: dynamics, space, time and the multilayer nature of the game
From the diversity of applications of Network Science, in this Opinion Paper
we are concerned about its potential to analyze one of the most extended group
sports: Football (soccer in U.S. terminology). As we will see, Network Science
allows addressing different aspects of the team organization and performance
not captured by classical analyses based on the performance of individual
players. The reason behind relies on the complex nature of the game, which,
paraphrasing the foundational paradigm of complexity sciences "can not be
analyzed by looking at its components (i.e., players) individually but, on the
contrary, considering the system as a whole" or, in the classical words of
after-match interviews "it's not just me, it's the team".Comment: 7 pages, 1 figur
Bistable phase control via rocking in a nonlinear electronic oscillator
We experimentally demonstrate the effective rocking of a nonlinear electronic
circuit operating in a periodic regime. Namely, we show that driving a Chua
circuit with a periodic signal, whose phase alternates (also periodically) in
time, we lock the oscillation frequency of the circuit to that of the driving
signal, and its phase to one of two possible values shifted by pi, and lying
between the alternating phases of the input signal. In this way, we show that a
rocked nonlinear oscillator displays phase bistability. We interpret the
experimental results via a theoretical analysis of rocking on a simple
oscillator model, based on a normal form description (complex Landau equation)
of the rocked Hopf bifurcationComment: 7 pages, 10 figure
Topological Measure Locating the Effective Crossover between Segregation and Integration in a Modular Network
We introduce an easily computable topological measure which locates the
effective crossover between segregation and integration in a modular network.
Segregation corresponds to the degree of network modularity, while integration
is expressed in terms of the algebraic connectivity of an associated
hyper-graph. The rigorous treatment of the simplified case of cliques of equal
size that are gradually rewired until they become completely merged, allows us
to show that this topological crossover can be made to coincide with a
dynamical crossover from cluster to global synchronization of a system of
coupled phase oscillators. The dynamical crossover is signaled by a peak in the
product of the measures of intra-cluster and global synchronization, which we
propose as a dynamical measure of complexity. This quantity is much easier to
compute than the entropy (of the average frequencies of the oscillators), and
displays a behavior which closely mimics that of the dynamical complexity index
based on the latter. The proposed toplogical measure simultaneously provides
information on the dynamical behavior, sheds light on the interplay between
modularity vs total integration and shows how this affects the capability of
the network to perform both local and distributed dynamical tasks
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