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Communications on Pure and Applied Analysis, ISSN 1534-0392, 09/2011, Volume 10, Issue 5, pp. 1415 - 1445
In this paper we prove the existence of a global attractor, an (H, E) global attractor, and an exponential attractor for the cubic autocatalytic reaction-diffusion systems represented by the reversible Gray-Scott equations... 
Exponential attractor | Gray-Scott equations | Reversible reaction-diffusion system | Cubic autocatalysis | Asymptotic dynamics | Global attractor | EXISTENCE | MATHEMATICS, APPLIED | GRAY-SCOTT MODEL | EXPONENTIAL ATTRACTORS | global attractor | SELF-REPLICATING SPOTS | exponential attractor | BRUSSELATOR | STIRRED TANK REACTOR | INSTABILITIES | MATHEMATICS | PATTERN-FORMATION | asymptotic dynamics | cubic autocatalysis | OSCILLATIONS | BIFURCATION
Journal Article
The Journal of Physical Chemistry A, ISSN 1089-5639, 10/2015, Volume 119, Issue 39, pp. 9954 - 9961
Mixed Landolt-type pH oscillators are versatile systems that allow the experimental study of a wide range of nonlinear phenomena including multistability, oscillations, and spatiotemporal patterns... 
CSTR | CHEMICAL OSCILLATORS | DESIGN | WAVES | SPATIAL BISTABILITY | MECHANISM | SELF-REPLICATING SPOTS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | TURING PATTERNS | IODATE-SULFITE | REACTION-DIFFUSION SYSTEM | Nonlinear dynamics | Diffusion rate | Oxidants | Expenses | Dynamics | Oscillations | Dynamical systems | Oscillators
Journal Article
Gene Therapy and Regulation, ISSN 1388-9532, 12/2012, Volume 7, Issue 1
Journal Article
Journal Article
Chemical Science, ISSN 2041-6520, 04/2016, Volume 7, Issue 4, pp. 2592 - 2603
A small molecular reaction network exploits recognition-mediated reactive processes in order to drive the assembly and formation of both a self-replicating... 
TEMPLATE SYNTHESIS | MECHANICALLY INTERLOCKED STRUCTURES | SELF-REPLICATING SYSTEM | MOLECULAR MACHINES | DIELS-ALDER REACTION | TRANSITION-METAL | BORROMEAN RINGS | ROTAXANES | CHEMISTRY, MULTIDISCIPLINARY | ASYMMETRIC AUTOCATALYSIS | INTRAMOLECULAR REACTIONS
Journal Article
Physical Chemistry Chemical Physics, ISSN 1463-9076, 01/2012, Volume 14, Issue 1, pp. 131 - 137
..., and labyrinthine patterns upon increasing the starch content in the system. Coexistence of a pH front and an iodine front was also studied in a batch IST reaction-diffusion system... 
EXPLANATION | WAVES | SPATIAL BISTABILITY | SELF-REPLICATING SPOTS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | IODINE | ION | TURING PATTERNS | OSCILLATIONS | CHLORINE-DIOXIDE | Cellular | Sodium | Polyacrylates | Spots | pH | Instability | Starches | Iodine
Journal Article
Chemical science (Cambridge), ISSN 2041-6539, 2017, Volume 8, Issue 4, pp. 2729 - 2740
We demonstrate a variety of template-directed strategies for preparing linear monodisperse butadiyne-linked porphyrin oligomers by Glaser–Hay coupling, based... 
ELECTRON-TRANSFER | CONJOINED POLYMER | 2-PHOTON ABSORPTION | SELF-REPLICATING SYSTEM | MOLECULAR WIRES | DNA | STATISTICAL FACTORS | KINETIC-ANALYSIS | ENERGY-TRANSFER | CHEMISTRY, MULTIDISCIPLINARY | SUPRAMOLECULAR BOX | Oligomers | Synthesis | Strands | Titration | Coupling | Binding sites | Ladders | Porphyrins
Journal Article
Journal of Chemical Physics, ISSN 0021-9606, 09/2005, Volume 123, Issue 12, pp. 124507 - 124507-5
We investigate the influence of noise on the spatiotemporal behavior of the Gray-Scott model, a prototype for a simple reaction-diffusion system... 
DYNAMICS | CHAOS | MEDIA | SURFACE-REACTION | SELF-REPLICATING SPOTS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL
Journal Article
Chemical Society Reviews, ISSN 0306-0012, 03/2014, Volume 43, Issue 6, pp. 1899 - 1933
Reversible covalent bond formation under thermodynamic control adds reactivity to self-assembled supramolecular systems, and is therefore an ideal tool to assess complexity of chemical and biological systems... 
SELF-REPLICATING MICELLES | DONOR-ACCEPTOR INTERACTIONS | HELICAL MOLECULAR STRANDS | ASSEMBLED MULTICOMPONENT CATENANES | DNA-BINDING COMPOUNDS | TEMPLATE-DIRECTED SYNTHESIS | SHAPE-PERSISTENT MACROCYCLES | METAL-DYE COMPLEXES | CYCLOPHILIN HCYP-18 LIGANDS | MASS-SPECTROMETRY LEADS | CHEMISTRY, MULTIDISCIPLINARY | Covalence | Receptors | Dynamics | Tools | Control systems | Biological | Dynamical systems | Combinatorial analysis
Journal Article
SIAM journal on applied dynamical systems, ISSN 1536-0040, 2005, Volume 4, Issue 4, pp. 904 - 953
...) models are analyzed on a bounded one- dimensional spatial domain. For each of these nonvariational two-component systems, the semistrong spike-interaction limit where the ratio O(epsilon(-2... 
Spikes | Competition and oscillatory instabilities | Nonlocal eigenvalue problem | Hopf bifurcation | EXISTENCE | MATHEMATICS, APPLIED | BIFURCATIONS | STABILITY | SELF-REPLICATING SPOTS | MODEL | PHYSICS, MATHEMATICAL | MODULATED 2-PULSE SOLUTIONS | PATTERN-FORMATION | nonlocal eigenvalue problem | STATIC SPIKE AUTOSOLITONS | EQUILIBRIA | spikes | REACTION-DIFFUSION SYSTEMS | competition and oscillatory instabilities
Journal Article
European journal of applied mathematics, ISSN 0956-7925, 04/2009, Volume 20, Issue 2, pp. 187 - 214
...–diffusion system on a finite domain are studied in a particular parameter regime. In this parameter regime, a formal singular perturbation method is used to derive a novel ODE... 
Papers | GAS-DISCHARGE SYSTEM | MATHEMATICS, APPLIED | AUTOSOLITONS | STABILITY | SELF-REPLICATING SPOTS | Dynamical systems | Mathematics
Journal Article
Chemical Communications, ISSN 1359-7345, 06/2010, Volume 46, Issue 23, pp. 4154 - 4156
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 12/2004, Volume 14, Issue 12, pp. 4097 - 4104
Journal Article