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Turing threshold of the Brusselator
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Area of mathematics
Analysis
Partial differential equation
Diffusion equation
Reaction-diffusion system
Brusselator
Created
2026-09-24
Updated
2026-09-24
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When
u
and
v
have diffusivities
D
and
1
, respectively, and the homogeneous
Brusselator
equilibrium is stable,
a
Turing instability
occurs precisely when
β
>
(
1
+
α
D
)
2
.
(1)
At onset,
D
c
=
α
2
(
β
−
1
)
2
,
k
∗
2
=
β
−
1
α
2
.
(2)
Ancestors
(8)
Brusselator
Reaction-diffusion system
Diffusion equation
Partial differential equation
Analysis
Area of mathematics
Mathematics
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Incoming links
(2)
Past exam of the mathematics course of the University of Cambridge
/
2012
/
iii
/
Paper 74
/
3
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2025
/
ii
/
Paper 4
/
14A
/
c
/
Solution
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