Control of waves, patterns and turbulence in chemical systems

AS Mikhailov, K Showalter - Physics Reports, 2006 - Elsevier
We review experimental and theoretical studies on the design and control of spatiotemporal
behavior in chemical systems. A wide range of approaches have been pursued to control …

pde2path-A Matlab package for continuation and bifurcation in 2D elliptic systems

H Uecker, D Wetzel, JDM Rademacher - … : Theory, Methods and …, 2014 - cambridge.org
pde2path is a free and easy to use Matlab continuation/bifurcation package for elliptic
systems of PDEs with arbitrary many components, on general two dimensional domains …

Controlling chemical turbulence by global delayed feedback: pattern formation in catalytic CO oxidation on Pt (110)

M Kim, M Bertram, M Pollmann, A Oertzen… - Science, 2001 - science.org
Control of spatiotemporal chaos is one of the central problems of nonlinear dynamics. We
report on suppression of chemical turbulence by global delayed feedback using, as an …

Nucleation kinetics and global coupling in reaction-diffusion systems

D Battogtokh, M Hildebrand, K Krischer, AS Mikhailov - Physics reports, 1997 - Elsevier
Systems with chemical reactions and diffusion of reagents form a large variety of
nonequilibrium patterns. In this short review we analyse analogies and differences between …

Spatial patterns and spatiotemporal dynamics in chemical systems

A De Wit - Applications of Fractional Calculus in Physics, Adv …, 2007 - books.google.com
Spatial patterns and spatiotemporal dynamics in chemical systems Page 448 SPATIAL
PATTERNS AND SPATIOTEMPORAL DYNAMICS IN CHEMICAL SYSTEMS A. DE WIT Service …

Dynamics of an ensemble of noisy bistable elements with global time delayed coupling

D Huber, LS Tsimring - Physical review letters, 2003 - APS
The dynamics of an ensemble of bistable elements with global time-delayed coupling under
the influence of noise is studied analytically and numerically. Depending on the noise level …

Pattern formation on the edge of chaos: Experiments with CO oxidation on a Pt (110) surface under global delayed feedback

M Bertram, C Beta, M Pollmann, AS Mikhailov… - Physical Review E, 2003 - APS
Experiments with catalytic oxidation of carbon monoxide on Pt (110) show that chemical
turbulence in this system can be suppressed by application of appropriate global delayed …

Mesoscopic modeling in the kinetic theory of adsorbates

M Hildebrand, AS Mikhailov - The Journal of Physical Chemistry, 1996 - ACS Publications
A mesoscopic description of surface chemical reactions, aimed to provide a link between
microscopic lattice models and reaction− diffusion equations, is formulated. Such a …

Turing instability mediated by voltage and calcium diffusion in paced cardiac cells

Y Shiferaw, A Karma - … of the National Academy of Sciences, 2006 - National Acad Sciences
In cardiac cells, the coupling between the voltage across the cell membrane (V m) and the
release of calcium (Ca) from intracellular stores is a crucial ingredient of heart function …

Subsurface oxygen in the CO oxidation reaction on Pt (110): Experiments and modeling of pattern formation

A von Oertzen, AS Mikhailov… - The Journal of …, 1998 - ACS Publications
New experimental evidence on the formation of spatio-temporal concentration patterns as
imaged by photoemission electron microscopy (PEEM) supports our earlier kinetic model for …