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2005, 1st ed., ISBN 0444520422, 349
The book introduces a hot topic of novel and emerging computing paradigms and architectures -computation by travelling waves in reaction-diffusion media. A... 
Data processing | Reaction-diffusion equations | Chemical systems | Systems engineering | Information technology | Reaction mechanisms (Chemistry) | Computers | Applications of Computing | Reaction-diffusion equations - Data processing | Spatial systems
eBook
2009, 1. Aufl., ISBN 0470030437, xii, 288
...” in a proper way, it is not only possible to discover a variety of new phenomena, in which chemical reactions are coupled with diffusion, but also to build micro-/nanoarchitectures and systems of practical importance... 
Reaction mechanism | Mathematics | Reaction-diffusion equations | Microtechnology | Nanotechnology | Nanomaterials
Book
Journal of Differential Equations, ISSN 0022-0396, 2016, Volume 260, Issue 1, pp. 781 - 817
... of the infinitesimal generator associated with the linearized system. By the normal form theory and the center manifold reduction, the stability and bifurcation direction of Hopf bifurcating periodic orbits are derived. Finally, our theoretical results are illustrated by a model with homogeneous kernels and one-dimensional spatial domain. 
Nonlocal delay | Hopf bifurcation | Lyapunov–Schmidt reduction | Reaction–diffusion | MATHEMATICS | Reaction diffusion | STABILITY | Lyapunov Schmidt reduction | EQUATIONS | POPULATION-MODEL
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 04/2017, Volume 45, pp. 81 - 92
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 08/2019, Volume 78, Issue 3, pp. 765 - 785
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 2011, Volume 251, Issue 4-5, pp. 1276 - 1304
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 01/2019, Volume 388, pp. 45 - 72
.... We formally show that the full PDE dynamics of a N-pulse configuration can be reduced to a N-dimensional dynamical system describing the dynamics on a N-dimensional manifold MN... 
Pulse interaction | Singular perturbed | Reaction–diffusion equation | Coarsening | Hybrid asymptotic–numerical method | EXISTENCE | MATHEMATICS, APPLIED | GRAY-SCOTT MODEL | PHYSICS, MULTIDISCIPLINARY | BIFURCATIONS | STABILITY | PATTERNS | Hybrid asymptotic-numerical method | PHYSICS, MATHEMATICAL | INSTABILITIES | MODULATED 2-PULSE SOLUTIONS | Reaction-diffusion equation | SPIKE EQUILIBRIA | SPECTRA | VEGETATION
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 05/2020, Volume 268, Issue 11, pp. 6598 - 6610
We consider a general, nonlinear version of the bidomain system. Using the gradient structure of this system, but also the notion of j-subgradient, we prove... 
Bidomain problem | FitzHugh-Nagumo model | Gradient system | j-subgradient | MATHEMATICS | REACTION-DIFFUSION SYSTEMS | MODEL
Journal Article
Applied mathematics letters, ISSN 0893-9659, 2015, Volume 49, pp. 73 - 77
This paper studies a reaction–diffusion system of a predator–prey model with Holling type II functional response and prey-taxis, proposed by Ainseba et al. (2008... 
Predator–prey | Reaction–diffusion system | Prey-taxis | Boundedness | Reaction-diffusion system | Predator-prey | MATHEMATICS, APPLIED | Roundedness
Journal Article
Chemical Communications, ISSN 1359-7345, 8/2014, Volume 5, Issue 74, pp. 1758 - 1767
We review recent work on a variety of systems, from the nanometre to the centimetre scale, including microemulsions, microfluidic droplet arrays, gels and flow reactors, in which chemical oscillators... 
ANTISPIRAL WAVES | MOLECULAR NANOFIBERS | ACTIVE GELS | MICROEMULSIONS | PATTERNS | REACTION-DIFFUSION SYSTEM | TIME-DELAY | CHEMISTRY, MULTIDISCIPLINARY | BELOUSOV-ZHABOTINSKY REACTION | ASSEMBLY CROSS-LINKING | ROTATING SPIRAL WAVES | Gels | Reactors | Droplets | Nanostructure | Microemulsions | Arrays | Microfluidics | Oscillators
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 06/2017, Volume 319, pp. 472 - 490
Journal Article
Chemical Society reviews, ISSN 1460-4744, 2017, Volume 46, Issue 18, pp. 5647 - 5678
Structures self-assembled away from thermodynamic equilibrium can control the flux of matter and energy within larger, networked chemical systems... 
GOLD NANOPARTICLES | ORGANIC-SYNTHESIS | BINARY NANOPARTICLE SUPERLATTICES | LIQUID-AIR INTERFACE | MOLECULAR MACHINES | BUILDING-BLOCKS | OPPOSITELY CHARGED-PARTICLES | SYNTHETIC BIOLOGY | REACTION-DIFFUSION SYSTEM | CHEMISTRY, MULTIDISCIPLINARY | RATIONAL DESIGN
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 12/2015, Volume 259, Issue 12, pp. 7238 - 7259
We investigate a partially degenerate reaction–diffusion system in a periodic habitat and prove the existence and stability of pulsating waves... 
Reaction–diffusion system | Partially degenerate | Pulsating waves | Periodic habitat | Reaction-diffusion system | MATHEMATICS | FRONTS | FRAGMENTED ENVIRONMENT MODEL | PERSISTENCE | EQUATIONS | SPREADING SPEEDS | TRAVELING-WAVES
Journal Article