I have a little question. I want to know if there is a process in which I can find equilibrium solutions to some system of difference equations. For example, if I have something crazy like(adsbygoogle = window.adsbygoogle || []).push({});

$$\begin{cases} x[n+1]=(x[n])^2y[n]+z[n]e^{-ax[n]} \\

y[n+1]= z[n]x[n]+x[n+1]y[n+1]\\

z[n+1]= \frac{x[n]}{1+x[n]}

\end{cases}$$

I would like to know how to calculate equilibrium points when $$n \rightarrow \infty$$

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# A Equilibrium in system of non-linear difference equations

Tags:

Have something to add?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**