Synchronization of an ensemble of oscillators is an emergent phenomenon present in
several complex systems, ranging from social and physical to biological and technological …

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

Understanding diffusive processes in networks is a significant challenge in complexity
science. Networks possess a diffusive potential that depends on their topological …

Resilience is an ability of a system with which the system can adjust its activity to maintain its
functionality when it is perturbed. To study resilience of dynamics on networks, Gao et …

The inclusion of inertia in the Kuramoto model has long been reported to change the nature
of a phase transition, providing a fertile ground to model the dynamical behaviors of …

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 …

Modeling cooperative dynamics using networks of phase oscillators is common practice for
a wide spectrum of biological and technological networks, ranging from neuronal …

Partial synchronization emerges in an oscillator network when the network splits into
clusters of coherent and incoherent oscillators. Here, we analyze the stability of partial …

Power system stability is quantified as the ability to regain an equilibrium state after being
subjected to perturbations. We start by investigating the global basin stability of a single …

In this paper we analyze the second-order Kuramoto model in the presence of a positive
correlation between the heterogeneity of the connections and the natural frequencies in …