Existence of Turing instabilities in a two-species fractional reaction-diffusion system
BI Henry, SL Wearne - SIAM Journal on Applied Mathematics, 2002 - SIAM
We introduce a two-species fractional reaction-diffusion system to model activator-inhibitor
dynamics with anomalous diffusion such as occurs in spatially inhomogeneous media …
dynamics with anomalous diffusion such as occurs in spatially inhomogeneous media …
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 …
Complex pattern formation in reaction–diffusion systems with spatially varying parameters
Spontaneous pattern formation in reaction–diffusion systems on a spatially homogeneous
domain has been well studied. However, in embryonic development and elsewhere, pattern …
domain has been well studied. However, in embryonic development and elsewhere, pattern …
Turing pattern formation in fractional activator-inhibitor systems
BI Henry, TAM Langlands, SL Wearne - Physical Review E—Statistical …, 2005 - APS
Activator-inhibitor systems of reaction-diffusion equations have been used to describe
pattern formation in numerous applications in biology, chemistry, and physics. The rate of …
pattern formation in numerous applications in biology, chemistry, and physics. The rate of …
Dynamics of Turing patterns under spatiotemporal forcing
We study, both theoretically and experimentally, the dynamical response of Turing patterns
to a spatiotemporal forcing in the form of a traveling-wave modulation of a control parameter …
to a spatiotemporal forcing in the form of a traveling-wave modulation of a control parameter …
Spatial periodic forcing of Turing structures
M Dolnik, I Berenstein, AM Zhabotinsky, IR Epstein - Physical Review Letters, 2001 - APS
Spontaneously evolving Turing structures in the chlorine dioxide-iodine-malonic acid
reaction-diffusion system typically exhibit many defects that break the symmetry of the …
reaction-diffusion system typically exhibit many defects that break the symmetry of the …
Heterogeneity induces spatiotemporal oscillations in reaction-diffusion systems
We report on an instability arising in activator-inhibitor reaction-diffusion (RD) systems with a
simple spatial heterogeneity. This instability gives rise to periodic creation, translation, and …
simple spatial heterogeneity. This instability gives rise to periodic creation, translation, and …
Mathematical modelling of juxtacrine patterning
Spatial pattern formation is one of the key issues in developmental biology. Some patterns
arising in early development have a very small spatial scale and a natural explanation is that …
arising in early development have a very small spatial scale and a natural explanation is that …
Diffusion-driven instabilities and emerging spatial patterns in patchy landscapes
Spatial variation in population densities across a landscape is a feature of many ecological
systems, from self-organised patterns on mussel beds to spatially restricted insect outbreaks …
systems, from self-organised patterns on mussel beds to spatially restricted insect outbreaks …
Pattern formation on anisotropic and heterogeneous catalytic surfaces
We review experimental and theoretical work addressing pattern formation on anisotropic
and heterogeneous catalytic surfaces. These systems are typically modeled by reaction …
and heterogeneous catalytic surfaces. These systems are typically modeled by reaction …