3. Calculation of the coefficients a, b and c .
In[]:=
a=-(++)//FullSimplify
m
11
m
22
m
33
In[]:=
b=++-//FullSimplify
m
11
m
22
m
22
m
33
m
33
m
11
m
12
m
21
In[]:=
c=-+//FullSimplify
m
12
m
21
m
33
m
12
m
31
m
13
m
11
m
22
m
33
4. Calculate Hopf instability given by the condition : c - ab = 0,
in terms of ϵ, q and β .
in terms of ϵ, q and β .
FindInstance[c-ab0&&0≤ε≤0.1&&0≤β≤1&&0≤q≤0.1,{ε,q,β},PositiveReals]