W Klimesch - European Journal of Neuroscience, 2018 - Wiley Online Library
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 …
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 …
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 first edition of the now classic original edition of Murray's Mathematical Biology. Since then mathematical biology and medicine has grown at …
SH Strogatz - Physica D: Nonlinear Phenomena, 2000 - Elsevier
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 …
A rich repertoire of oscillatory signals is detected from human brains with electro-and magnetoencephalography (EEG/MEG). However, the principles underwriting coherent …
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 …