Why didn't Turing instability occur?

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Bode
Bode 2023-9-19
回答: Abhimenyu 2023-9-26
Why isn't Turing instability occurring even though the conditions for it are met at these parameters? I feel it's not quite reasonable. Could I have made a mistake somewhere?

回答(1 个)

Abhimenyu
Abhimenyu 2023-9-26
Hi Bode,
I understand that you want to check Turing instability using your code. It is my understanding that in your file, “turing_condition.m”, the formula for “H2” is wrong. For Turing instability with diffusion, “H2” <0. The correction is as follows:
function [H1,H2]=turing_condition(d1,d2,jaco_matrix)
j=jaco_matrix;
H1=(d1)*(j(2,2))+(d2)*(j(1,1));
H2=(-(H1)^2)+4*(d1)*(d2)*(det(j));
This gives “H2” <0 which shows Turing instability. Follow the link on Turing conditions for better understanding,
Thank you,
Abhimenyu

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