The complexity of many biological, social and technological systems stems from the richness
of the interactions among their units. Over the past decades, a variety of complex systems …

Network-based modeling of complex systems and data using the language of graphs has
become an essential topic across a range of different disciplines. Arguably, this graph-based …

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 …

Out of equilibrium, a lack of reciprocity is the rule rather than the exception. Non-reciprocity
occurs, for instance, in active matter,,,,–, non-equilibrium systems,–, networks of neurons …

Cilia and flagella are fundamental units of motion in cellular biology. These beating, hair-like
organelles share a common basic structure but maintain widely varying functions in systems …

A rich repertoire of oscillatory signals is detected from human brains with electro-and
magnetoencephalography (EEG/MEG). However, the principles underwriting coherent …

We study patterns of partial synchronization in a network of FitzHugh–Nagumo oscillators
with empirical structural connectivity measured in human subjects. We report the …

Critical transitions are observed in many complex systems. This includes the onset of
synchronization in a network of coupled oscillators or the emergence of an epidemic state …

Adaptivity is a dynamical feature that is omnipresent in nature, socio-economics, and
technology. For example, adaptive couplings appear in various real-world systems, such as …

Adaptive networks change their connectivity with time, depending on their dynamical state.
While synchronization in structurally static networks has been studied extensively, this …