Synchronization of an ensemble of oscillators is an emergent phenomenon present in
several complex systems, ranging from social and physical to biological and technological …

Synchronization phenomena in large populations of interacting elements are the subject of
intense research efforts in physical, biological, chemical, and social systems. A successful …

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 …

Transport phenomena in spatially periodic systems far from thermal equilibrium are
considered. The main emphasis is put on directed transport in so-called Brownian motors …

The manner in which quadrupeds change their locomotive patterns—walking, trotting, and
galloping—with changing speed is poorly understood. In this paper, we provide evidence for …

We review the behavior of theoretical models of excitable systems driven by Gaussian white
noise. We focus mainly on those general properties of such systems that are due to noise …

We present a new way to make Ising machines, ie, using networks of coupled self-sustaining
nonlinear oscillators. Our scheme is theoretically rooted in a novel result that establishes …

Some analytical results are obtained for a large population of limit-cycle oscillators modelled
by a set of deterministic equations φ= ω iN-1 K Σ N j= 1 sin (φ i-φ j+ α)(i= 1, 2,…, N), where φ …

Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book
discusses fundamental properties of transient and stationary solutions, emphasizing the …

Populations of certain unicellular organisms, such as suspensions of yeast in nutrient
solutions, undergo transitions to coordinated activity with increasing cell density. The …