x'=y-x^3 and y'=-x^5(adsbygoogle = window.adsbygoogle || []).push({});

I've worked the jacobian which is

[-3x^2 1;-5x^4 0] and the equilibrium is at (0,0)

so jac = [0 1;0 0]

and eigenvalues are both 0

so is the stability non isolated point??? and what i can say about the basin of attraction of the origin?

Could anyone help me?

thanks a lot

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

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

# Stability of the equilibrium at (0,0)

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