Traditionally, the natural sciences have been divided into two branches: the biological
sciences and the physical sciences. Today, an increasing number of scientists are …

Systems with many stable configurations abound in nature, both in living and inanimate
matter, encoding a rich variety of behaviors. In equilibrium, a multistable system is more …

We specify and analyse models that capture the geometry of purposeful motion of a
collective of mobile agents, with a focus on planar motion, dyadic strategies and attention …

Moving animal groups, such as flocks of birds or schools of fish, exhibit a varity of self-
organized complex dynamical behaviors and shapes. This kind of flocking behavior has …

The feasibility domain of an ecological community can be described by the set of
environmental abiotic and biotic conditions under which all co-occurring and interacting …

For many years the possible influence of weak electromagnetic fields on biological systems
has been investigated by both experimental and theoretical methods. In the present …

The most conspicuous trait of collective animal behavior is the emergence of highly ordered
structures. Less obvious to the eye, but perhaps more profound a signature of self …

Abstract Sinhuber et al.(Sci Rep 11: 3773, 2021) formulated an equation of state for
laboratory swarms of the non-biting midge Chironomus riparius that holds true when the …

Scientists have long strived to simplify and abstract nature into fundamental categories and
statements that could yield understanding of, and predictive insight into, the phenomena …

This paper analyses the processes by which organisms form groups and how social forces
interact with environmental variability and transport. For aquatic organisms, the latter is …