Fig. 6

Sensitivity analyses agree with arc length measure in predicting switching. Relationship between eigenvalue sensitivity, separation sensitivity, and percent arc length to parameter perturbation. (Top) Arc length ratio is a definitive measure of when switching occurs (\(s/s_{max} = 1\)). This condition is first attained for perturbations \(\approx 25\%\) for \(\{k_1, k_2\}\). For \(\{k_3, k_4\}\) this transition occurs after further perturbation of \(\approx 30-35\%\). Therefore, \(\{k_1, k_2\}\) is dominant parameter cluster in that lesser amount of perturbations in these parameters can lead to switching. (Middle) The vertical ordering of eigenvalue sensitivity curves indicates that the clustering observed in the arc length plot is reproduced.(Below) The trend seen with eigenvalue sensitivity is repeated with separation sensitivity results as well. This shows that the sensitivity analyses can be used as a proxy to predict which parameters will cause switching first when perturbed by the same amounts