MHB What Are the Steady States of the Nondimensionalized DE System?

  • Thread starter Thread starter Dustinsfl
  • Start date Start date
  • Tags Tags
    States Steady
Dustinsfl
Messages
2,217
Reaction score
5
Steady states for a system of nondimensionalized DEs

$$
\begin{array}{lcl}
\frac{du_1}{d\tau} & = & u_1(1 - u_1 - a_{12}u_2)\\
\frac{du_2}{d\tau} & = & \rho u_2(a - a_{21}u_1)
\end{array}
$$

So $(0,0)$ and $(1,0)$. Are there any more? If so, how did you find them?
 
Physics news on Phys.org
What if

$1−u_1 −a_{12} u_2 = 0$ and $a−a_{21} u_1 = 0$?
 
Danny said:
What if

$1−u_1 −a_{12} u_2 = 0$ and $a−a_{21} u_1 = 0$?

I figured it out awhile ago but thanks.
 

Similar threads

Back
Top