Brownian motors: noisy transport far from equilibrium

P Reimann - Physics reports, 2002 - Elsevier
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 …

Effects of noise in excitable systems

B Lindner, J Garcıa-Ojalvo, A Neiman… - Physics reports, 2004 - Elsevier
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 …

Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles

I Buttinoni, J Bialké, F Kümmel, H Löwen, C Bechinger… - Physical review …, 2013 - APS
We study experimentally and numerically a (quasi-) two-dimensional colloidal suspension of
self-propelled spherical particles. The particles are carbon-coated Janus particles, which are …

[BOOK][B] Nonlinear dynamics of chaotic and stochastic systems: tutorial and modern developments

VS Anishchenko, V Astakhov, A Neiman, T Vadivasova… - 2007 - Springer
We present an improved and enlarged version of our book Nonlinear-namics of Chaotic and
Stochastic Systems published by Springer in 2002. Basically, the new edition of the book …

[BOOK][B] Noise in spatially extended systems

J García-Ojalvo, J Sancho - 2012 - books.google.com
Intended for graduate students and researchers in physics, chemistry, biology, and applied
mathematics, this book provides an up-to-date introduction to current research in fluctuations …

[BOOK][B] Nonlinear Fokker-Planck equations: fundamentals and applications

TD Frank - 2005 - books.google.com
Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book
discusses fundamental properties of transient and stationary solutions, emphasizing the …

Extreme events in dynamical systems and random walkers: A review

SN Chowdhury, A Ray, SK Dana, D Ghosh - Physics Reports, 2022 - Elsevier
Extreme events gain the attention of researchers due to their utmost importance in various
contexts ranging from climate to brain. An observable that deviates significantly from its long …

Spatiotemporal order out of noise

F Sagués, JM Sancho, J García-Ojalvo - Reviews of Modern Physics, 2007 - APS
Natural systems are undeniably subject to random fluctuations, arising from either
environmental variability or thermal effects. The consideration of those fluctuations supposes …

Mathematical models of vegetation pattern formation in ecohydrology

F Borgogno, P D'odorico, F Laio… - Reviews of …, 2009 - Wiley Online Library
Highly organized vegetation patterns can be found in a number of landscapes around the
world. In recent years, several authors have investigated the processes underlying …

Array enhanced stochastic resonance and spatiotemporal synchronization

JF Lindner, BK Meadows, WL Ditto, ME Inchiosa… - Physical Review Letters, 1995 - APS
We enhance the response of a “stochastic resonator” by coupling it into a chain of identical
resonators. Specifically, we show via numerical simulation that local linear coupling of …