Existence of turing instabilities in a two-species fractional reaction-diffusion system

SIAM Journal on Applied Mathematics

Volumn 62, Issue 3, 2002, Pages 870-887

  Henry, B I ^a   Wearne, S L ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Anomalous diffusion; Inhomogeneous media; Reaction diffusion; Turing pattern

Indexed keywords

DIFFUSION; LAPLACE TRANSFORMS; LIQUID CRYSTALS; POROUS MATERIALS;

TURING INSTABILITIES;

REACTION KINETICS;

EID: 0036306866     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139900375227     Document Type: Article

References (53)

1. The chemical basis of morphogenesis
2. Pattern formation outside of equilibrium
3. Pattern formation in non-gradient reaction-diffusion systems: The effects of front bifurcations
4. Spatial pattern formation in chemical and biological systems
5. Spatial patterns and spatiotemporal dynamics in chemical systems
6. A reaction-diffusion wave on the skin of the marine angelfish Pomacanthus
7. Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern
8. Neurocomputation by reaction-diffusion
9. Hexagon and stripe Turing structures in a gas discharge system
10. Pattern formation and competition in nonlinear optics
11. Turing patterns in nonlinear optics
12. Modeling of Taring structures in the chlorite-iodide-malonic acid-starch reaction system
13. One-dimensional "spirals": Novel asynchronous chemical wave sources
14. Taring pattern formation in heterogeneous media
15. Convection instabilities in nematic liquid crystals
16. Oscillatory kinetics in heterogeneous catalysis
17. Pattern formation in an inhomogeneous environment
18. Heart muscle as a reaction-diffusion medium: The roles of electric potential diffusion, activation front curvature, and anisotropy
19. Pattern formation in reaction-diffusion models with spatially inhomogeneous diffusion coefficients
20. Effect of randomness and anisotropy on Taring patterns in reaction-diffusion systems
21. Monte Carlo simulation of the reaction-diffusion process of a complex chemical scheme on a fractal lattice
22. Unravelling the Taring bifurcation using spatially varying diffusion coefficients
23. Diffusion driven instability in an inhomogenoeus circular domain
24. Pattern formation in inhomogeneous active media: A localized bistable domain immersed in an oscillatory medium
25. Two-dimensional patterns in reaction-diffusion systems: An analytical tool for the experimentalist
26. Traveling-wave fragments in anisotropic excitable media
27. Porous medium equation with absorption
28. Numerical solution of nonlinear reaction diffusion processes
29. Interface development and local solutions to reaction-diffusion equations
30. Fractional diffusion equation for transport phenomena in random media
31. Fractional model equation for anomalous diffusion
32. Stochastic foundations of fractional dynamics
33. Fractional diffusion: Exact representations of spectral functions
34. Macroscopic current in fractional anomalous diffusion
35. The determination of the diffusion kernel on fractals and fractional diffusion equation for transport phenomena in random media
36. Multidimensional advection and fractional dispersion
37. Fractional time evolution
38. Diffusion in disordered media
39. Long-tailed distributions and non-Brownian transport in complex systems
40. Stochastic pathway to anomalous diffusion
41. From continuous time random walks to the fractional Fokker-Planck equation
42. Fractional reaction-diffusion
43. A Turing model with correlated random walk
44. Spatial instabilities in reaction random walks with direction-independent kinetics
45. Nonlinear waves in reaction-diffusion systems: The effect of transport memory
46. Aggregation, blowup, and collapse: The ABC's of taxis in reinforced random walks
47. A system of reaction diffusion equations arising in the theory of reinforced random walks
48. A theory of biological pattern formation
49. Multi-scaled turbulence in large populations of oscillators in a diffusive medium