It is a fundamental challenge to understand how the function of a network is related to its
structural organization. Adaptive dynamical networks represent a broad class of systems that …

The increase in the installation of distributed energy resources (DERs) globally has led to a
remarkable transformation in the structure of smart grids due to the growing number of …

Phase transitions widely occur in natural systems. Incorporation of higher-order interactions
in coupled dynamics is known to cause first-order phase transition to synchronization in an …

Abnormally strong neural synchronization may impair brain function, as observed in several
brain disorders. We computationally study how neuronal dynamics, synaptic weights, and …

Adaptive networks with time-varying connectivity, often called plasticity, provide a
fundamental paradigm to model complex dynamical systems. In these systems, different …

Canard cascading (CC) is observed in dynamical networks with global adaptive coupling. It
is a slow-fast phenomenon characterized by a recurrent sequence of fast transitions …

Many natural and human-made complex systems feature group interactions that adapt over
time in response to their dynamic states. However, most of the existing adaptive network …

Swarmalators, which combine the swarming phenomenon with synchronization, have drawn
a lot of attention from researchers in recent years. Nevertheless, the majority of earlier …

Adaptive dynamical networks are network systems in which the structure co-evolves and
interacts with the dynamical state of the nodes. We study an adaptive dynamical network in …

The energy transition introduces new classes of dynamical actors into the power grid. There
is, in particular, a growing need for so-called grid-forming inverters (GFIs) that can contribute …