Network science provides a set of tools for the characterization of the structure and
functional behavior of complex systems. Yet a major problem is to quantify how the structural …

Our ability to manipulate the behavior of complex networks depends on the design of
efficient control algorithms and, critically, on the availability of an accurate and tractable …

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

We prove the existence of a multidimensional nontrivial invariant toroidal manifold for the
Kuramoto network with adaptive coupling. The constructed invariant manifold corresponds …

Cluster synchronization is of great importance for the normal functioning of numerous
technological and natural systems. Deviations from normal cluster synchronization patterns …

Cascading failures abound in complex systems and the Bak–Tang–Weisenfeld (BTW)
sandpile model provides a theoretical underpinning for their analysis. Yet, it does not …

In this paper, we consider a noisy network of nonlinear systems in the sense that each
system is driven by two sources of state-dependent noise:(1) an intrinsic noise that can be …

Remote synchronization describes a fascinating phenomenon where oscillators that are not
directly connected via physical links evolve synchronously. This phenomenon is thought to …

Asymptotic stability of synchronization has been widely analyzed for identically coupled
dynamical systems, while such a study is further challenging for the case of non-identical …

In cluster synchronization, network nodes are divided into synchronized groups before the
whole network gets synchronized. This phenomenon is crucial in understanding the …