When one eigenvalue of a Jacobian matrix is zero, then a limit point occurs. It is the point where a real eigenvalue moves across the imaginary axis. After this point, there are two solutions defined by
$$u=tx^2$$
Where \(u=c-c_0\) and \(x=u(c)-u(c_0)\) where \(c\) is the control parameter, and \(c_0\) is the limit point. Limit points represent changes in stability, where at least one of the branches is unstable.
[[Pseudo Arc Length Parameterization]] – used bc the matrix would be singular at the limit points
- WingRockPrediction