Journal
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS
Volume 3, Issue 4, Pages -Publisher
ASME-AMER SOC MECHANICAL ENG
DOI: 10.1115/1.2960468
Keywords
competing dynamic solutions; attractor robustness; safe basins; dynamic integrity; erosion profiles; parametric pendulum
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The competing solutions of a planar pendulum parametrically excited by the vertical motion of the pivot are investigated in terms of both attractor robustness and basin integrity. Two different measures are considered to highlight how the integrity of the system is modified by changing the amplitude of the excitation. Various attractors, both in-well and out-of-well, are considered, and the integrity profiles of each of them are determined. A detailed discussion of the inter action and mutual erosion of the various attractors is performed by clarifying the role of the two complementary measures, and the most relevant characteristics of the erosion profiles are interpreted in terms of the underlying topological mechanisms involving local or global bifurcations.
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