[HTML][HTML] Pattern formation mechanisms of self-organizing reaction-diffusion systems
… (b) Examples of two-dimensional Turing patterns generated using the … For the sake of clarity
and simplicity, we define robust … domains, the dimensions of wave-pinning-induced patterns …
and simplicity, we define robust … domains, the dimensions of wave-pinning-induced patterns …
Turing conditions for pattern forming systems on evolving manifolds
… complicated, as there is a strong dependence of any spatially … reaction diffusion systems
on growing domains in one, two, and three spatial dimensions. We generalize several examples …
on growing domains in one, two, and three spatial dimensions. We generalize several examples …
From one pattern into another: analysis of Turing patterns in heterogeneous domains via WKBJ
… from spatially heterogeneous reaction–diffusion systems. Our … pattern forming processes,
noting that most scenarios in … regions of the domain depending on their growth rates. This …
noting that most scenarios in … regions of the domain depending on their growth rates. This …
[PDF][PDF] Parameter Identification for Pattern-Generating Reaction-Diffusion Systems–Towards Generative Texture Descriptors
W Ainhauser, M Welk - welkraum.info
… topic of pattern formation by reaction–diffusion systems with … on synthetic and real-world
examples are shown in Section 4… that there is a strong negative correlation between the …
examples are shown in Section 4… that there is a strong negative correlation between the …
Evasion of tipping in complex systems through spatial pattern formation
… spatial pattern formation in which only part of the spatial domain … We highlight a few illustrative
examples in Box 2 and Box 3. … a strong impact on the formation, stability, and dynamics of …
examples in Box 2 and Box 3. … a strong impact on the formation, stability, and dynamics of …
Phase-space geometry of mass-conserving reaction-diffusion dynamics
… a new way of thinking about pattern formation, namely, in terms of … This level of description
proves to be very powerful in explaining … purposes; for specific examples, see the Appendix A. …
proves to be very powerful in explaining … purposes; for specific examples, see the Appendix A. …
Sparse optimal control of pattern formations for an SIR reaction-diffusion epidemic model
… domains are reasonable and valuable in investigating the process of disease transmission.
As a powerful … In the preceding numerical examples, Turing patterns with smaller NSPA were …
As a powerful … In the preceding numerical examples, Turing patterns with smaller NSPA were …
Modern perspectives on near-equilibrium analysis of Turing systems
AL Krause, EA Gaffney… - … Transactions of the …, 2021 - royalsocietypublishing.org
… to more realistic scenarios of pattern formation, and particularly … Nevertheless, we hope to
show how powerful this perspective … equations is important for the kind of pattern formation in …
show how powerful this perspective … equations is important for the kind of pattern formation in …
The effect of climate change on the resilience of ecosystems with adaptive spatial pattern formation
… these situations, vegetation is strongly localised and patterns … themselves in a regular
pattern, thus increasing their resilience. … Hence, there is an increased demand for reliable early …
pattern, thus increasing their resilience. … Hence, there is an increased demand for reliable early …
Bespoke turing systems
… given, then these techniques provide a powerful way for using … We demonstrate examples
of these constructions numerically… We will neglect pattern formation due to stabilised fronts and …
of these constructions numerically… We will neglect pattern formation due to stabilised fronts and …