The structure and dynamics of networks with higher order interactions
All beauty, richness and harmony in the emergent dynamics of a complex system largely
depend on the specific way in which its elementary components interact. The last twenty-five …
depend on the specific way in which its elementary components interact. The last twenty-five …
The synchronized dynamics of time-varying networks
Over the past two decades, complex network theory provided the ideal framework for
investigating the intimate relationships between the topological properties characterizing the …
investigating the intimate relationships between the topological properties characterizing the …
Controllability of complex networks
The ultimate proof of our understanding of natural or technological systems is reflected in
our ability to control them. Although control theory offers mathematical tools for steering …
our ability to control them. Although control theory offers mathematical tools for steering …
Control principles of complex systems
A reflection of our ultimate understanding of a complex system is our ability to control its
behavior. Typically, control has multiple prerequisites: it requires an accurate map of the …
behavior. Typically, control has multiple prerequisites: it requires an accurate map of the …
Controlling complex networks with complex nodes
Real-world networks often consist of millions of heterogenous elements that interact at
multiple timescales and length scales. The fields of statistical physics and control theory both …
multiple timescales and length scales. The fields of statistical physics and control theory both …
Exact controllability of complex networks
Controlling complex networks is of paramount importance in science and engineering.
Despite the recent development of structural controllability theory, we continue to lack a …
Despite the recent development of structural controllability theory, we continue to lack a …
On submodularity and controllability in complex dynamical networks
Controllability and observability have long been recognized as fundamental structural
properties of dynamical systems, but have recently seen renewed interest in the context of …
properties of dynamical systems, but have recently seen renewed interest in the context of …
Quasi-synchronization of heterogeneous dynamic networks via distributed impulsive control: Error estimation, optimization and design
This paper studies leader–follower synchronization in heterogeneous dynamic networks via
distributed impulsive control. The goal is to drive the followers to approximately synchronize …
distributed impulsive control. The goal is to drive the followers to approximately synchronize …
Explosive transitions in complex networks' structure and dynamics: Percolation and synchronization
Percolation and synchronization are two phase transitions that have been extensively
studied since already long ago. A classic result is that, in the vast majority of cases, these …
studied since already long ago. A classic result is that, in the vast majority of cases, these …
Data based identification and prediction of nonlinear and complex dynamical systems
The problem of reconstructing nonlinear and complex dynamical systems from measured
data or time series is central to many scientific disciplines including physical, biological …
data or time series is central to many scientific disciplines including physical, biological …