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 …

Graph theory is now becoming a standard tool in system-level neuroscience. However,
endowing observed brain anatomy and dynamics with a complex network structure does not …

When describing complex interconnected systems, one often has to go beyond the standard
network description to account for generalized interactions. Here, we establish a unified …

A widely held assumption on network dynamics is that similar components are more likely to
exhibit similar behavior than dissimilar ones and that generic differences among them are …

The field of network synchronization has seen tremendous growth following the introduction
of the master stability function (MSF) formalism, which enables the efficient stability analysis …

Symmetries are ubiquitous in network systems and have profound impacts on the
observable dynamics. At the most fundamental level, many synchronization patterns are …

Previous research on nonlinear oscillator networks has shown that chaos synchronization is
attainable for identical oscillators but deteriorates in the presence of parameter mismatches …

Symmetry breaking—the phenomenon in which the symmetry of a system is not inherited by
its stable states—underlies pattern formation, superconductivity and numerous other effects …

The emergence of order in nature manifests in different phenomena, with synchronization
being one of the most representative examples. Understanding the role played by the …

Synchronization is a widespread phenomenon observed in physical, biological, and social
networks, which persists even under the influence of strong noise. Previous research on …