- #1
shatranz
- 2
- 0
Unstable fixed point...help me!...U may find interesting!
Dear friends,
I have a 3-D non-linear equation. I have inearised it to get a single fixed point which turns out to be a repelling spiral (one +ve real eigenvalue, and two complex conjugates with +ve real part)...Now, the problem is whatever initial point (even if the initial point is very close to the fixed point itself, not to talk of the far of initial conditions) I take in the phase space and run 4th order runge-kutta code, the trajectory converges to the fixed point...why should it be?..(To me it seems strange as the fixed point is repelling spiral!)...Please help me!
Dear friends,
I have a 3-D non-linear equation. I have inearised it to get a single fixed point which turns out to be a repelling spiral (one +ve real eigenvalue, and two complex conjugates with +ve real part)...Now, the problem is whatever initial point (even if the initial point is very close to the fixed point itself, not to talk of the far of initial conditions) I take in the phase space and run 4th order runge-kutta code, the trajectory converges to the fixed point...why should it be?..(To me it seems strange as the fixed point is repelling spiral!)...Please help me!