Statistical physics has proven to be a fruitful framework to describe phenomena outside the
realm of traditional physics. Recent years have witnessed an attempt by physicists to study …

Research on brain oscillations has brought up a picture of coupled oscillators. Some of the
most important questions that will be analyzed are, how many frequencies are there, what …

Combinatorial optimization problems belong to the non-deterministic polynomial time (NP)-
hard complexity class, and their computational requirements scale exponentially with …

Networks of coupled dynamical systems have been used to model biological oscillators 1, 2,
3, 4, Josephson junction arrays 5, 6, excitable media 7, neural networks 8, 9, 10, spatial …

It has been over a decade since the release of the now classic original edition of Murray's
Mathematical Biology. Since then mathematical biology has grown at an astonishing rate …

Fish travel in schools, birds migrate in flocks, honeybees swarm, and ants build trails. How
and why do these collective behaviors occur? Exploring how coordinated group patterns …

The Kuramoto model describes a large population of coupled limit-cycle oscillators whose
natural frequencies are drawn from some prescribed distribution. If the coupling strength …

Concepts, methods and techniques of statistical physics in the study of correlated, as well as
uncorrelated, phenomena are being applied ever increasingly in the natural sciences …

The phase oscillator model with global coupling is extended to the case of finite-range
nonlocal coupling. Under suitable conditions, peculiar patterns emerge in which a quasi …

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