Experimental versus theoretical robustness of rotating solutions in a parametrically excited pendulum: a dynamical integrity perspective
From an operative point of view the dynamical integrity of a dynamical system consists in studying the properties of the safe basin (to be properly defined and measured) and their evolution with a varying driving parameter. In this paper the safe basin is the basin of attraction of the clockwise rotating solution of a pendulum and the considered measure of integrity is the integrity factor, which is the normalized radius of the largest circle entirely belonging to the safe basin, and which has been shown to be appropriate for rotations. A main part of this work is Section 5, where the dynamical integrity of the parametric pendulum is discussed in detail and used to justify the experimental observations.
scientific article; zbMATH DE number 5883949
scientific article