Nonlinear chemical dynamics: oscillations, patterns, and chaos

IR Epstein, K Showalter - The Journal of Physical Chemistry, 1996 - ACS Publications
Chemical reactions with nonlinear kinetic behavior can give rise to a remarkable set of
spatiotemporal phenomena. These include periodic and chaotic changes in concentration …

Pattern formation in non-gradient reaction-diffusion systems: the effects of front bifurcations

A Hagberg, E Meron - Nonlinearity, 1994 - iopscience.iop.org
Abstract Domain patterns in reaction-diffusion systems often contain two spatial scales; a
long scale determined by a typical domain size, and a short scale pertaining to front …

Pattern formation in the presence of symmetries

GH Gunaratne, Q Ouyang, HL Swinney - Physical Review E, 1994 - APS
We present a detailed theoretical study of pattern formation in planar continua with
translational, rotational, and reflection symmetry. The theoretical predictions are tested in …

[图书][B] Topics in nonlinear dynamics: Applications to physics, biology and economic systems

E Mosekilde - 2003 - books.google.com
Through a series of examples from physics, engineering, biology and economics, this book
illustrates the enormous potential for application of ideas and concepts from nonlinear …

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 …

Excitability, wave reflection, and wave splitting in a cubic autocatalysis reaction-diffusion system

V Petrov, SK Scott, K Showalter - … Transactions of the …, 1994 - royalsocietypublishing.org
The excitability properties of a two-variable cubic autocatalysis model for chemical
oscillations are examined. The reaction-diffusion behaviour of this model is studied in a one …

Spatial resonances and superposition patterns in a reaction-diffusion model with interacting Turing modes

L Yang, M Dolnik, AM Zhabotinsky, IR Epstein - Physical review letters, 2002 - APS
Spatial resonances leading to superlattice hexagonal patterns, known as “black-eyes,” and
superposition patterns combining stripes and/or spots are studied in a reaction-diffusion …

Lamellar structures and self-replicating spots in a reaction-diffusion system

KJ Lee, HL Swinney - Physical Review E, 1995 - APS
Experiments on a ferrocyanide-iodate-sulfite reaction-diffusion system reveal several
different planar spatial patterns: stationary lamellae arising from a transverse front instability …

Experimental studies and quantitative modeling of Turing patterns in the (chlorine dioxide, iodine, malonic acid) reaction

B Rudovics, E Barillot, PW Davies… - The Journal of …, 1999 - ACS Publications
Experimental studies of the formation of Turing patterns in the (chlorine dioxide, iodine,
malonic acid) reaction are performed in a spatial open gel disk reactor where all the input …

Control of the chlorine dioxide− iodine− malonic acid oscillating reaction by illumination

AP Muñuzuri, M Dolnik, AM Zhabotinsky… - Journal of the …, 1999 - ACS Publications
We show that illumination of the chlorine dioxide− iodine− malonic acid reaction with visible
light suppresses oscillations and shifts the steady state of the reaction to lower …