Remember:
| Continuos Systems | Linear | Non-Linear |
|---|---|---|
| 1D | Stable steady state. unstable steady state. Marginally stable steady state. NO OSCILLATIONS. | There can be more than one steady state, and they all can be isolated. |
| 2D | Stable or unstable: nodes and spirals. Saddle (unstable), and center (marginal). | You could have limit cycles, robust oscillations (menaing that they are attracting osicllations and not marginal ones). |
| 3D | Like in 2D (linear), but with one more steady state. We could have 2 imaginary conjugate eigenvalues and 1 real eigenvalue, for example. | You could have a chaotic system. |
- ???TODO Bat a trajector CAN instersect itself in the phase space, like we see before???, maybe it is somenthing like, if a trajectory intersects itslef in the phase space, then it will continue to intersect itself forever as time goes on, so it is not a trajectory but a limit cycle or center?not-sure-about-this