Approaching complexity by stochastic methods: From biological systems to turbulence
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 …
(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 …
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 …
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 …
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 …
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 …
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
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 …
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
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 …
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 …
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 …
experimentally in a planar dc gas-discharge system with high-ohmic barrier. We report on …