Systems of dynamical elements exhibiting spontaneous rhythms are found in various fields
of science and engineering, including physics, chemistry, biology, physiology, and …

Investigating the dynamics of a network of oscillatory systems is a timely and urgent topic.
Phase synchronization has proven paradigmatic to study emergent collective behavior …

Flexible information routing fundamentally underlies the function of many biological and
artificial networks. Yet, how such systems may specifically communicate and dynamically …

This paper investigates group synchronization for multiple interacting clusters of
nonidentical systems that are linearly or nonlinearly coupled. By observing the structure of …

We propose a novel method of reconstructing the topology and interaction functions for a
general oscillator network. An ensemble of initial phases and the corresponding …

Experimental studies can provide powerful insights into the physics of complex networks.
Here, we report experimental results on the influence of connection topology on …

We study a large population of globally coupled phase oscillators subject to common white
Gaussian noise and find analytically that the critical coupling strength between oscillators for …

An overview is given on two representative methods of dynamical reduction known as centre-
manifold reduction and phase reduction. These theories are presented in a somewhat more …

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 …

Brain networks exhibit very variable and dynamical functional connectivity and flexible
configurations of information exchange despite their overall fixed structure. Brain oscillations …