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 - The Fusion of Science and Community**

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

Loading...

Similar Threads for Equilibrium system linear |
---|

A Stability for a system of nonlinear ODEs |

I Boundary Conditions for System of PDEs |

A A system of partial differential equations with complex vari |

I Free pdf for PDE on AMS Open Math Notes |

A A system of DEs with variable coefficients. |

**Physics Forums - The Fusion of Science and Community**