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 …
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
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 …
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 …
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 …
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 …
PATTERNS AND SPATIOTEMPORAL DYNAMICS IN CHEMICAL SYSTEMS A. DE WIT Service …
Dynamics of an ensemble of noisy bistable elements with global time delayed coupling
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 …
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 …
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 …
microscopic lattice models and reaction− diffusion equations, is formulated. Such a …
Turing instability mediated by voltage and calcium diffusion in paced cardiac cells
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 …
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 …
imaged by photoemission electron microscopy (PEEM) supports our earlier kinetic model for …