Approaching complexity by stochastic methods: From biological systems to turbulence

R Friedrich, J Peinke, M Sahimi, MRR Tabar - Physics Reports, 2011 - Elsevier
This review addresses a central question in the field of complex systems: given a fluctuating
(in time or space), sequentially measured set of experimental data, how should one analyze …

Dissipative solitons

HG Purwins, HU Bödeker, S Amiranashvili - Advances in Physics, 2010 - Taylor & Francis
The present review summarizes experimental and theoretical work dealing with self-
organized solitary localized structures (LSs) that are observed in spatially extended …

Localized patterns in reaction-diffusion systems

VK Vanag, IR Epstein - Chaos: An Interdisciplinary Journal of …, 2007 - pubs.aip.org
We discuss a variety of experimental and theoretical studies of localized stationary spots,
oscillons, and localized oscillatory clusters, moving and breathing spots, and localized …

Synergetic aspects of gas-discharge: lateral patterns in dc systems with a high ohmic barrier

HG Purwins, L Stollenwerk - Plasma Physics and Controlled …, 2014 - iopscience.iop.org
The understanding of self-organized patterns in spatially extended nonlinear dissipative
systems is one of the most challenging subjects in modern natural sciences. Such patterns …

Traveling pulse solutions to FitzHugh–Nagumo equations

CN Chen, YS Choi - Calculus of Variations and Partial Differential …, 2015 - Springer
Many patterns emerge from homogeneous media that are destabilized by a spatial
modulation. Near such a bifurcation, Turing patterns are more or less uniformly distributed …

Dissipative solitons in reaction-diffusion systems

HG Purwins, HU Bödeker, AW Liehr - Dissipative solitons, 2005 - Springer
A major goal of natural science is to understand the formation of spatiallyextended patterns
in all kinds of physical, chemical, biological and other systems. In many cases, it is …

Role of surface charges in dc gas-discharge systems with high-ohmic electrodes

EL Gurevich, AW Liehr, S Amiranashvili, HG Purwins - Physical Review E, 2004 - APS
Surface charge of the electrodes is investigated for planar dc gas-discharge systems. Both
analytical estimates and experimental data show that such a charge plays an important role …

Fragmentation of stability domains of dark solitons, dark breathers, and drifting solitons at high pump intensities in normal-dispersion Kerr microresonators

VE Lobanov, OV Borovkova, AK Vorobyev, VI Pavlov… - Physical Review A, 2024 - APS
Stability domains (ie, pump frequency detuning range) of a single dark soliton (or platicon)
and dark breather in high-Q Kerr optical microresonators with normal group velocity …

Collective motion of active Brownian particles in one dimension

P Romanczuk, U Erdmann - The European Physical Journal Special …, 2010 - Springer
We analyze a model of active Brownian particles with non-linear friction and velocity
coupling in one spatial dimension. The model exhibits two modes of motion observed in …

Drift bifurcation of dissipative solitons due to a change of shape: experiment and theory

SV Gurevich, HU Bödeker, AS Moskalenko… - Physica D: Nonlinear …, 2004 - Elsevier
The subject of this paper is self-organized solitary current filaments being observed
experimentally in a planar dc gas-discharge system with high-ohmic barrier. We report on …