The fascinating patterns of collective motion created by autonomously driven particles have
fuelled active-matter research for over two decades. So far, theoretical active-matter …

Activity and autonomous motion are fundamental in living and engineering systems. This
has stimulated the new field of'active matter'in recent years, which focuses on the physical …

In recent years, nonreciprocally coupled systems have received growing attention. Previous
work has shown that the interplay of nonreciprocal coupling and Goldstone modes can drive …

We review the literature on swimming in complex fluids. A classification is proposed by
comparing the length-and timescales of a swimmer with those of nearby obstacles …

Recently, non-reciprocal systems have become a focus of growing interest. Examples occur
in soft and active matter, but also in engineered quantum materials and neural (brain) …

We investigate collective dynamics in a binary mixture of programmable robots in
experiments and simulations. While robots of the same species align their motion direction …

Oscillatory behavior is ubiquitous in out-of-equilibrium systems showing spatiotemporal
pattern formation. Starting from a linear large-scale oscillatory instability—a conserved-Hopf …

Motility coupled to responsive behavior is essential for many microorganisms to seek and
establish appropriate habitats. One of the simplest possible responses, reversing the …

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 …

Active agents are capable of exerting nonreciprocal forces upon one another. For instance,
one agent, say A, may attract another agent B while B repels A. These antagonistic …