What happens when the paradigmatic Kuramoto model involving interacting oscillators of
distributed natural frequencies and showing spontaneous collective synchronization in the …

Repulsive oscillator networks can exhibit multiple cooperative rhythms, including chimera
and cluster splay states. Yet, understanding which rhythm prevails remains challenging …

Solitary states emerge in oscillator networks when one oscillator separates from the fully
synchronized cluster and oscillates with a different frequency. Such chimera-type patterns …

The analysis of dissipatively coupled oscillators is challenging and highly relevant in power
grids. Standard mathematical methods are not applicable, due to the lack of network …

In this work, we propose a dynamical systems perspective on the modeling of sepsis and its
organ-damaging consequences. We develop a functional two-layer network model for …

In this study, we provide a dynamical systems perspective to the modelling of pathological
states induced by tumors or infection. A unified disease model is established using the …

A central question of network science is how functional properties of systems arise from their
structure. For networked dynamical systems, structure is typically quantified with network …

Synchronization is an omnipresent collective phenomenon in nature and technology, whose
understanding is still elusive for real-world systems in particular. We study the …

Ensembles of coupled nonlinear oscillators are a popular paradigm and an ideal benchmark
for analyzing complex collective behaviors. The onset of cluster synchronization is found to …

We delve into the interplay between network's symmetry and functioning for a generic class
of dynamical systems. Primarily, we focus on a class of systems that characterize the …