Summary
To calculate the exact basin of attraction of a solution is a challenging task. For this very reason, various estimates are defined in the literature to gain an understanding on the dynamical robustness of a solution of a nonlinear system. Computing dynamical integrity measures efficiently is non-trivial. The MATLAB based DynIn Toolbox can estimate the local integrity measure of an equilibrium point effectively. In this study we extended the algorithm to compute the local integrity measure values for limit cycles. Therefore the local integrity measure had to be redefined for autonomous periodic orbits. The algorithm is capable of identifying periodic solutions while varying system parameters. Moreover, it can handle nonsmooth systems as well.
