Dynamical integrity assessment of stable equilibria: a new rapid iterative procedure

Abstract A new algorithm for the estimation of robustness a dynamical system’s equilibrium is presented. Unlike standard approaches, does not aim to identify entire basin attraction solution. Instead, it iteratively estimates so-called local integrity measure, that is, radius largest hypersphere entirely included in solution and centred The procedure completely overlooks intermingled fractal regions attraction, enabling provide significant engineering quantity very short time. tested on four different mechanical systems increasing dimension, from 2 8. For each system, variation measure with respect system parameter evaluated, proving relevance results provided. Despite some limitations, proved be viable alternative more complex computationally demanding methods, making potentially appealing tool industrial applications.