Network systems consist of subsystems and their interconnections and provide a powerful
framework for the analysis, modeling, and control of complex systems. However, subsystems …

Many natural and man-made complex dynamical systems can be represented by networks
with vertices representing system units and edges the coupling between vertices. If edges of …

The transfer of topological concepts from the quantum world to classical mechanical and
electronic systems has opened fundamentally different approaches to protected information …

Oscillatory activity is ubiquitous in natural and engineered network systems. The interaction
scheme underlying interdependent oscillatory components governs the emergence of …

Being fundamentally a non-equilibrium process, synchronization comes with unavoidable
energy costs and has to be maintained under the constraint of limited resources. Such …

The presence of long-range interactions is crucial in distinguishing between abstract
complex networks and wave systems. In photonics, because electromagnetic interactions …

Complex networks or graphs provide a powerful framework to understand importance of
individuals and their interactions in real-world complex systems. Several graph theoretical …

External flows of energy, entropy, and matter can cause sudden transitions in the stability of
biological and industrial systems, fundamentally altering their dynamical function. How might …

The structure of a network has a major effect on dynamical processes on that network. Many
studies of the interplay between network structure and dynamics have focused on models of …

This paper introduces a linear operator for the purposes of quantifying the spectral
properties of transport within resistive trees, such as airflow in lung airway networks. The …